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Paper Citation Record · LEDGER

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

As of 7 August 2026, this Paper Citation Record lists 100 of 123 outbound references and 4 inbound Pith citation observations for arXiv:2605.27672.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.27672 v1

Coverage vector

measured 100 of 123 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 104 of 104 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T20:48:25.313678Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-02T15:57:07.094347Z

Reference resolution

100 of 123 outbound references displayed

  • verified exact79
  • verified fuzzy17
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External citation measurements

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Outbound references

Observation e0e42bf9-c3f0-4601-9a77-912270c0dffc · outbound

This paper cites 39 [LLB21] Chien-Hung Lin, Michael Levin, and Fiona J.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions 39 [LLB21] Chien-Hung Lin, Michael Levin, and Fiona J

Reference 1

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Observation 8abddaee-0f77-4df7-8a16-624409155400 · outbound

This paper cites Journal of High Energy Physics 2015(2), 172 (2015) https://doi.org/10.1007/JHEP02(2015)172.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Journal of High Energy Physics 2015(2), 172 (2015) https://doi.org/10.1007/JHEP02(2015)172

Reference 2

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Observation d9600651-47e9-4efa-b4ee-770af0b2112b · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Unresolved cited work

Reference 3

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Observation 4a4e809f-e232-43eb-9a5d-7fd92449453f · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Unresolved cited work

Reference 4

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Observation bf37427f-2df8-4e9f-a283-9707cd0523b4 · outbound

This paper cites Iqbal and J.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Iqbal and J

Reference 5

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Observation 15934399-e42e-4841-b88e-932c74bcccb1 · outbound

This paper cites Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

Reference 6

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Observation 3fed4129-f031-467b-b9b9-2b5021e527da · outbound

This paper cites Bhardwaj, L.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Bhardwaj, L

Reference 7

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Observation 4c9879fd-1216-4467-a92f-acda25ef8632 · outbound

This paper cites McGreevy, Generalized Symmetries in Condensed Matter , Annual Rev.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions McGreevy, Generalized Symmetries in Condensed Matter , Annual Rev

Reference 8

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Observation 92fc559d-ebbd-4a2b-829c-bd8b69402819 · outbound

This paper cites Chen, Essay: Generalized landau paradigm for quantum phases and phase transitions, Phys.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Chen, Essay: Generalized landau paradigm for quantum phases and phase transitions, Phys

Reference 9

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Observation 5d0be9d1-cbbf-4761-804e-8ed74cacd5aa · outbound

This paper cites What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 10

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Observation fc16cb9c-d3ee-4f66-8a8f-77cdb626b660 · outbound

This paper cites ICTP lectures on (non-)invertible gen- eralized symmetries.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions ICTP lectures on (non-)invertible gen- eralized symmetries

Reference 11

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Observation 26b94dd2-1927-43ae-ba23-e572166d7371 · outbound

This paper cites Fuchs, I.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Fuchs, I

Reference 12

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Observation bcd7f3e8-4b1a-40ab-8abd-25e2dcf01b9c · outbound

This paper cites Carqueville and I.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Carqueville and I

Reference 13

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Observation b1d48cb2-08da-444e-80d8-07d73beb9aa1 · outbound

This paper cites Aasen, R.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Aasen, R

Reference 14

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Observation 31b7c69c-4a99-4f84-9f44-e9230b634227 · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions On gauging finite subgroups

Reference 15

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Observation fb9d59a0-6725-477f-bcb9-07ec9f740f55 · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Bhardwaj and Y

Reference 16

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Observation 29d771d9-dfa6-48db-bbe8-e6f200d00cb6 · outbound

This paper cites Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 17

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Observation 37985255-ba26-4708-a911-ec3d4935a21d · outbound

This paper cites Topological Defects on the Lattice: Dualities and Degeneracies.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Topological Defects on the Lattice: Dualities and Degeneracies

Reference 18

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Observation b247ef38-a088-465b-a8e3-03134b5c4c5f · outbound

This paper cites Lootens, C.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Lootens, C

Reference 19

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Observation ad44da4a-7965-4caf-970e-c9b466a02268 · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Dualities in one-dimensional quantum lattice models: topological sectors

Reference 20

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Haegeman, K

Reference 21

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This paper cites Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry

Reference 22

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Gaiotto and J

Reference 23

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Observation 2cc1a380-06ec-43a4-93b4-871467fe5064 · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Chatterjee and X.-G

Reference 24

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This paper cites Topological holography, quantum criticality, and boundary states.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Topological holography, quantum criticality, and boundary states

Reference 25

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This paper cites arXiv preprint arXiv:2403.07813 (2024).

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions arXiv preprint arXiv:2403.07813 (2024)

Reference 26

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Observation 147b897f-ee2a-4028-acf6-d2adf9e6d97e · outbound

This paper cites Bhardwaj, L.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Bhardwaj, L

Reference 27

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Observation 0ef82747-a2dd-40c4-a21d-5e68e6947920 · outbound

This paper cites Gauging non-invertible symmetries on the lattice.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Gauging non-invertible symmetries on the lattice

Reference 28

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Part I , author =

Reference 29

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions & Wigner, E

Reference 30

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Hidden symmetry break- ing and the Haldane phase in S=1 quantum spin chains

Reference 31

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Observation eb36c59c-f07b-404f-86ea-67e9cde7a7b9 · outbound

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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kennedy and H

Reference 32

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This paper cites Algebra 209 (1998) http://dx.doi.org/10.1006/jabr.1998.7558, no.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Algebra 209 (1998) http://dx.doi.org/10.1006/jabr.1998.7558, no

Reference 33

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This paper cites Fechisin, N.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Fechisin, N

Reference 34

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:5508dc188354029adb0167ea4e7de723fd71433c3e28318173875a9e917c034e

Observation 7e5bae65-81dd-49e6-aecf-b7c8ff163234 · outbound

This paper cites Chatterjee, O.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Chatterjee, O

Reference 35

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.356455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:5f87ba1d6da7c8c54ab4db3983abe1e4ec6c3a61846ed1d74d3661eedaeaf7f5

Observation 4fcc9e04-5648-46b7-9c56-63dc370697ad · outbound

This paper cites Lattice Models for Phases and Transitions with Non-Invertible Symmetries.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.902561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:98920521bae67044c15150958c891eb72342e69d87885c62ba31c0f9963c07f7

Observation 3c84c826-e260-494d-8330-858f5c52157b · outbound

This paper cites Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.918718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:f711e933133bcd786be7c8ed63be89ae44aac72feb440605b42a7d9528f52606

Observation 70586534-454f-4651-8a48-9b83af4d12ff · outbound

This paper cites Oshikawa and I.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Oshikawa and I

Reference 38

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.314153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:be5ceaa7e8fbdaa2584283ebb7b405240379833d2ffe656def906711f838299e

Observation 43e4ddc2-388d-4663-806b-9204e5258c83 · outbound

This paper cites Petkova and J.-B.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Petkova and J.-B

Reference 39

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.421697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:3aff5016bb142b4b01b3c4b3f64eaf811e4e4a42b8c76a932212a84c92d13d06

Observation d34cbb2d-029f-4021-bec9-ba4951fe9613 · outbound

This paper cites Fr¨ ohlich, J.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Fr¨ ohlich, J

Reference 40

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.334312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:f54aabe12d42dd7cca4f26720fb0b9c86967b2fcd8753cb3e8adb1f9e936dc20

Observation 2ac338db-ab33-4d47-9550-511b27371e86 · outbound

This paper cites Chang, Y.-H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Chang, Y.-H

Reference 41

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.428036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:9970152ecc30e1e0a364e0ac2ea87a47c91ff0e277c18482398f9a694d1b5277

Observation 9e3e8e07-696a-40b5-a376-58a5250b01e1 · outbound

This paper cites Feiguin, S.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Feiguin, S

Reference 42

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.312519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:553f8b7cfd5b24d2d6cd302dc02d9e63c09135859b5c9a224b5b2c4175becef0

Observation 6bee93df-e426-4709-932a-822be4a48b21 · outbound

This paper cites Anyonic Chains, Topological Defects, and Conformal Field Theory.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Anyonic Chains, Topological Defects, and Conformal Field Theory

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.327339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:cc9b58f39b1451df1c0acb1ef33365b185946771d5158bbb2481c91c7ef1477a

Observation 59060487-43f7-49f9-86af-f6207587e5d7 · outbound

This paper cites Ning, B.-B.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Ning, B.-B

Reference 44

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.433263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:1dad1379b9735b854d32529349fe74cf5eb4931cdfb724f1934103254c7cd02c

Observation 6a51f89d-c758-4950-bcd3-afc3558304f3 · outbound

This paper cites Defect lines, dualities, and generalised orbifolds.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Defect lines, dualities, and generalised orbifolds

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.379544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:953cb4c201239bdfaa6e199523014f99d3d97cae8a18433407ae185db18cdd18

Observation 9b7a008f-5504-4498-9816-1524545019d2 · outbound

This paper cites Thorngren and Y.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Thorngren and Y

Reference 46

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.394114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:4408f8d804c6d89b200f2dd7316917d57cbc6fd3a8ef76ef2ed3107fbbcd591f

Observation feca7dcb-4b32-458e-9809-de11da841679 · outbound

This paper cites Bhardwaj, D.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Bhardwaj, D

Reference 47

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.407323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:c668ec79de1535731cb709b3077920a30db9b9711d5e00e1c9f8228a46b610ca

Observation 8da73640-bf8a-4ba1-98d0-221cfcbdd5ed · outbound

This paper cites On lattice models of gapped phases with fusion category symmetries.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions On lattice models of gapped phases with fusion category symmetries

Reference 48

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.307108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:6475d37edb593680fdaf66feb13e72510dfe17470df0f6396f117dc67a01fa41

Observation 8c7e3b14-73a8-44a1-a830-95c37bcdad5f · outbound

This paper cites Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.890984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:ffb32400a0294e820b468dd6b2914770cea8345e3679e7c0c238fa0ba79dac10

Observation 092f13cc-ff21-4a73-9b4e-c5d8dd3130a4 · outbound

This paper cites Ji and X.-G.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Ji and X.-G

Reference 50

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.423278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:dac08d4fd3ac6e3d1f1fcb01679f33dffa4a768bcb202655153d052efece5b4a

Observation eabf7be7-9866-4d6f-8577-24a63a376ab8 · outbound

This paper cites SL(2, Z ) action on QFTs with Z _2 symmetry and the Brown-Kervaire invariants.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions SL(2, Z ) action on QFTs with Z _2 symmetry and the Brown-Kervaire invariants

Reference 51

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.330811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:c306a088573b2ec5d5a1eb9da75afccccd058cc2ad18275487381be10c559f4a

Observation a359f952-ecff-4f1e-916c-c7d8f8642310 · outbound

This paper cites Pulmann, P.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Pulmann, P

Reference 52

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.336347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:6490028e693f99d6c4556ffdb2e2505c5ef9c892ef7b23956d461815bb61cc79

Observation b60599c9-6ab4-4447-8c07-6bfa19121a30 · outbound

This paper cites Lichtman, R.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Lichtman, R

Reference 53

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.412833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:26de1cf0335dc6117f92e13dd72f0e9abadf75a4d25efb1c6de3368c9f41fdb6

Observation eb5f5821-1e1f-42b7-bad9-613b93612251 · outbound

This paper cites Kong and H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kong and H

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:32:21.514646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:d595bf85048fb689ba339eca2944a1d6c074ffa7af4256ff9b767c66c28da324

Observation 8d0355c5-4931-4f00-9c48-2df15e3a1f7a · outbound

This paper cites [L¨ ud26] Tim L¨ uders.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions [L¨ ud26] Tim L¨ uders

Reference 55

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.415987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:c0dae5831d0b088b5a9d1dacec4f2f544bc4d7ecbc3a899551b3d2ddf27f4da4

Observation 30d2003d-1f65-4f3e-82fd-5c0f23b43486 · outbound

This paper cites Symmetry TFTs from string theory.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Symmetry TFTs from string theory

Reference 56

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.317999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:7459deaa2c2a8cc89872db02a3783e1026b03f1ea7684ec7c1732a385f22e819

Observation 4a720c1b-1fc1-4364-9cb1-e6f355a0e954 · outbound

This paper cites Chatterjee and X.-G.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Chatterjee and X.-G

Reference 57

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.383995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:d2a0563e555b0fbb230aa1537123a49fa64e8531dba87f39dc3fd469c4f304e8

Observation 3e135e38-040a-4b9b-b2d0-e41c48a883f6 · outbound

This paper cites Topological symmetry in quantum field theory.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Topological symmetry in quantum field theory

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.888457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:b30a329a6a68ca566ad6c2bfc8549443269c163d9e8e2fa9b886c17413e83800

Observation 360d1359-d19a-4175-b95d-134ee215b8e6 · outbound

This paper cites an unresolved cited work.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-07-06T11:32:21.516734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:62a8b4a2c5a5fea51227e522fb47676fbe9190f58b058c59003e58c698ecfb0c

Observation 826f5b64-1042-4647-a757-dd6e89a4bd82 · outbound

This paper cites Kong and H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kong and H

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:32:21.512412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:3da7d68e1686d44b39b48ee449568b62dd56578fab577d04f4beabfd2c9a1c94

Observation ba2ab22c-88cf-4755-971c-bb6aec2aa5ad · outbound

This paper cites Kong and H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kong and H

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:32:21.509929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:e55be2550c597e4aecc3df88062a3e11524d9637177caa9b968b17caa9e640f6

Observation 734ada1b-de83-490b-8232-8d69d638221e · outbound

This paper cites Kong, X.-G.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kong, X.-G

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:32:21.506790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:5f1ca66bf1ded0caacf3b3b76062ed8356e395ae89853ec4a3759b5fef034390

Observation 183bdce2-5c6d-40f7-bd12-426ab0530e0d · outbound

This paper cites Kong and H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kong and H

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.079227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:0e2ec1ec896b20596444a645b81e1166c528b55a821ceab3e80633c9a23cbbb7

Observation c36e0dd4-9c76-40d1-882f-3b2dddb2452e · outbound

This paper cites Kong and H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kong and H

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.077346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:32f742aafafe027676909e4aede29c8db8585e14f5d499f8e15520be93cc5cb4

Observation 9ed5b770-873f-4e02-81ed-cd683bc51e63 · outbound

This paper cites Xu and Z.-H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Xu and Z.-H

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:32:21.521438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:8fa1fc0cf38c780535c688bbccbf14abb626c52fd8469679d5420ed34da2634b

Observation 9b88d862-67c0-46bf-94be-98402efc36c2 · outbound

This paper cites Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

Reference 66

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.398911Z

Source-reported events for the cited work

correction dated 2018-04-16. Source: crossref record 10.1007/s00220-018-3134-8->10.1007/s00220-017-2960-4:correction, observed 2026-07-11T03:06:19.032225+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:a6d5ef45fa8add07cfb6c77023db4d3fadd1c1e77902676a8c8c03c6bea3eebf

Observation 6a22c134-a2c5-4d7d-bcb2-0361c567bc68 · outbound

This paper cites Choi, D.-C.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Choi, D.-C

Reference 67

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.431491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:ddddf8a9d3e2f6d7809135f43d4ec9128bf94ce8971ebe2cfec186759d5a3fc7

Observation 50b9b870-fda3-4828-ba90-5bf2dcaa372a · outbound

This paper cites Diatlyk, C.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Diatlyk, C

Reference 68

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.411001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:16504c710e9b33af2c719bfae7270a7da4d4d55512fe5849000085f3f5646f5d

Observation 99ae2685-8055-45b1-938f-9eecc8d887f5 · outbound

This paper cites Perez-Lona, D.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Perez-Lona, D

Reference 69

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.373495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:38b9b78686925b98dce459af24d18dbb78692872a3e322eb2712a90099e15eb8

Observation 50a20201-cd21-4d42-b0fa-e6b10a2359e3 · outbound

This paper cites Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:55:48.931382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:bcc59781cd645be934527782ec9594e13a3071217c6baef1ffa01b04937a255c

Observation 2058f927-d6a1-4972-8146-1a1cd9585e60 · outbound

This paper cites Chen and T.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Chen and T

Reference 71

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doi, observed 2026-07-01T15:55:48.363099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:e99b2189b133818eebdb62bd2215d2c8bbbacbc3fcf6bb4519131a84cdd04216

Observation a472b56d-6096-4266-8676-56f86a419f5f · outbound

This paper cites an unresolved cited work.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Unresolved cited work

Reference 72

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arxiv_id, observed 2026-07-01T15:55:48.879163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:2f101b45f391596717a670dfc37f90449956c5ba6c1ccde5419aa82ccad07796

Observation 04e10559-96fd-433c-b3b9-8827bd604433 · outbound

This paper cites Generalized Kramers– Wannier self-duality in Hopf–Ising models.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Generalized Kramers– Wannier self-duality in Hopf–Ising models

Reference 73

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arxiv_id, observed 2026-07-01T15:55:48.881541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:14c5d94450a400c0bebb74767c77d637fb9d2b44518b2a23852db05022c0f758

Observation 777a88f5-e4b2-46ed-a877-a560dd7902f5 · outbound

This paper cites Higher Gauging and Non-invertible Condensation Defects.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Higher Gauging and Non-invertible Condensation Defects

Reference 74

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verified exact
local_arxiv, observed 2026-07-01T15:55:48.405226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:dabf3297c239fea89345de29dbb1dc39917017378263e1ec6beef75046a64311

Observation a4c9f5d1-080f-4ece-a2f1-f056eb5508f6 · outbound

This paper cites Module categories over the Drinfeld double of a finite group.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Module categories over the Drinfeld double of a finite group

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.883882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:e04c417659fa39ccada9da82aa27de13c781926a37f406dc6401c66421a680a7

Observation 3b2205c1-99ba-40bf-b69c-b847fc1a2aee · outbound

This paper cites Natale et al., On the equivalence of module categories over a group-theoretical fusion category, SIGMA.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Natale et al., On the equivalence of module categories over a group-theoretical fusion category, SIGMA

Reference 76

Resolution
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raw_fallback, observed 2026-07-06T11:22:21.125671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:f7a0354cb6ef115e3ce5957a2bd4daacfce9b26133981e00c7f1e9eb3183085e

Observation 4cbe3fa8-6a80-4965-b2f3-0bba8c67d390 · outbound

This paper cites SymSETs and self-dualities under gauging non-invertible symmetries.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions SymSETs and self-dualities under gauging non-invertible symmetries

Reference 77

Resolution
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arxiv_id, observed 2026-07-01T15:55:48.886246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:30974db9086e75082981273ee68b1b6337f8f5ce6b0f66165b9796198f07669b

Observation 5c6820df-f60b-4c18-98d0-c9962bedc973 · outbound

This paper cites Finite Group Modular Data.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Finite Group Modular Data

Reference 78

Resolution
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local_arxiv, observed 2026-07-01T15:55:48.323641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:49746ef9e022a0ef8a337795a38642bdf9f973a5054aee3077f34e2d2ecf9ad2

Observation 1992671f-cab5-45c3-b62e-76a6e90a70ef · outbound

This paper cites Centers of graded fusion categories.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Centers of graded fusion categories

Reference 79

Resolution
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local_arxiv, observed 2026-07-01T15:55:48.877053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:98c050d3d49c443a247d6f5d503b461d0cc26874b31ef6191cc583b570cae9f0

Observation b869f4d8-de8e-4acf-b9c3-91c39ff02078 · outbound

This paper cites Zhang and C.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Zhang and C

Reference 80

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.319843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:6d14b5026ee54bcd2dd1f19190129c2a80a8d6027fda7e4b43c30b70a59a2ae1

Observation d5e82e61-1e3e-4058-abfc-0e0b8be519cb · outbound

This paper cites Hu and Y.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Hu and Y

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.122160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:c4909e3f4e1f7c019a167072d2e1695b010ee6a4dbb8d4a544627c754daa15a3

Observation 4163431f-7f4f-4a03-b3e5-16b298fb31b0 · outbound

This paper cites Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$

Reference 82

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:55:48.893455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:2986749b57c4995267a5d83eb6de3d5c6c99f0ba3f8b7b5a3cf15305207952ae

Observation 26ca2ece-be99-4be6-89c3-82b8e5f23b7f · outbound

This paper cites Kitaev and L.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Kitaev and L

Reference 83

Resolution
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raw_fallback, observed 2026-07-06T11:22:21.120473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:857a211de3b500d8d28b6c4894ccae67c52f3b99ceab132a2ba01c75aedf8910

Observation 0b3be7a3-addb-455d-8f83-aaa320af805b · outbound

This paper cites Seifnashri and S.-H.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Seifnashri and S.-H

Reference 84

Resolution
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doi, observed 2026-07-01T15:55:48.390535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:83f7785b74f23c15a244b4b4d962517ae1d76e295926fbae3778f09d3a13a2a7

Observation 1672febb-a9cb-49a1-9143-36b49d7a9a4f · outbound

This paper cites Van Grinsven, h-equivariant morita equivalences of loewy-graded comodule algebras, arXiv preprint arXiv:2510.09540 (2025).

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Van Grinsven, h-equivariant morita equivalences of loewy-graded comodule algebras, arXiv preprint arXiv:2510.09540 (2025)

Reference 85

Resolution
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arxiv_id, observed 2026-07-01T15:55:48.921402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:098cce3968f40889b7000edbf51161fb49d26d605a107a70415d4acec757df49

Observation b0e9190d-88b0-471c-97c4-fc4e225a5932 · outbound

This paper cites Deconfined quantum criticality and Neel order via dimer disorder.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Deconfined quantum criticality and Neel order via dimer disorder

Reference 86

Resolution
verified exact
local_arxiv, observed 2026-07-01T15:55:48.371539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:8838e2b4e84df4bf06707a8f22c8e24eb13b1e593cbb1c04e4bbad3103da1837

Observation 35d31261-cb23-4f11-b6c8-d669f9d1136c · outbound

This paper cites Deconfined quantum critical points: a review.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Deconfined quantum critical points: a review

Reference 87

Resolution
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arxiv_id, observed 2026-07-01T15:55:48.924021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:9918aef52e17094ded8e49e3bde849b067e4ba5205236ed1551afd89ace4edd5

Observation 8e5ac247-2155-48b2-8f3b-30ab013d3f98 · outbound

This paper cites Etingof, D.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Etingof, D

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.127470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:7334393df4e99afc443fa1ab7dcd16cdaf32bee7ec0f756321f4a28e70371811

Observation 7f3f8399-6059-40ea-bf83-e1584e39215c · outbound

This paper cites Burciu and S.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Burciu and S

Reference 89

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.400971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:7cb5fa201ce062ab57321a517b352d4a2f4a5378132d46bcf57eaa79a764809d

Observation a5d8e369-57fd-4dc2-a3d5-6a45b62054af · outbound

This paper cites an unresolved cited work.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Unresolved cited work

Reference 90

Resolution
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doi, observed 2026-07-01T15:55:48.347490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:ba99dab81a23f98a4bfe7d0b5ecdbb8da4600a057ea4da7064ddfa5e2b84f1e8

Observation 2c062b98-0f6d-4a95-977a-956ea72b20be · outbound

This paper cites On triality defects in 2d CFT.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions On triality defects in 2d CFT

Reference 91

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.429968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:0c1e6dc71aafe3d3c6576d029c75446dd4a4ab91a6dc97dbf06ac210c658bd82

Observation 7e134529-5bfa-49b0-8562-b66169b6f5c2 · outbound

This paper cites Natale, On group theoretical hopf algebras and exact factorizations of finite groups, Journal of Algebra270(1), 199 (2003).

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Natale, On group theoretical hopf algebras and exact factorizations of finite groups, Journal of Algebra270(1), 199 (2003)

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.118689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:6f548d475dbbc5af64a57134f10fa7590f44680d432c0756ff55c597fda9df73

Observation f1dcbe07-6131-417b-a783-84be63ee389b · outbound

This paper cites Nikshych, Non-group-theoretical semisimple hopf algebras from group actions on fusion categories, Selecta Mathematica14(1), 145 (2008).

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Nikshych, Non-group-theoretical semisimple hopf algebras from group actions on fusion categories, Selecta Mathematica14(1), 145 (2008)

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.114860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:9bdb0f2089beeec93f8450811f8a5fe0fa36d69d2e5d62490d119a8c09b0bfdf

Observation 87350c5a-3e35-4390-a970-77b1eda3e1dd · outbound

This paper cites Natale, Hopf algebra extensions of group algebras and tambara-yamagami categories, Algebras and representation theory13(6), 673 (2010).

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Natale, Hopf algebra extensions of group algebras and tambara-yamagami categories, Algebras and representation theory13(6), 673 (2010)

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.116841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:91a1dc008204121d6e8b65f7c9df9563241c2b32842d6af5e112dbf65ebc0ca5

Observation 409b4f73-c01d-44f3-ba52-6354e0148c3e · outbound

This paper cites Orders of Nikshych's Hopf algebra.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Orders of Nikshych's Hopf algebra

Reference 95

Resolution
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local_arxiv, observed 2026-07-01T15:55:48.872582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:6240d431e9b837e20ca75855c5cd3f95e146db23f79d19216176c844bba7ab52

Observation 83061fe1-bb1b-49ee-8505-5a0d6a73de39 · outbound

This paper cites Lu and Z.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Lu and Z

Reference 96

Resolution
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arxiv_id, observed 2026-07-01T15:55:48.870422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:18a08ecfe946c9ee1ffe7c6be332aad175edd5f161a244819635096bdbeae7f7

Observation e21dd990-dd9a-455e-8fa0-dbce2c32a4d2 · outbound

This paper cites Bartsch, M.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Bartsch, M

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.129340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:84773633e99ebbdea25e6a95da12e0b04b3da6475af764fc589d41caa18d7f1c

Observation 2461830a-a304-498c-b9ee-f8d64f2d84da · outbound

This paper cites Bartsch, M.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Bartsch, M

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:22:21.063823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:a0564ce74a1419cb4cbd8cf173847b4315d9f0d25f5ccc6fecab44b2bc6008f9

Observation 232fa188-2bec-46c9-a651-861f4bdf3669 · outbound

This paper cites Zhang and M.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Zhang and M

Reference 99

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.345851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:5256e1d90a15227f39ad8975faf650cf15242af7d2e1457d12085e2ff74853d6

Observation 58f34330-ec1c-4457-b45b-65126a5ef41d · outbound

This paper cites an unresolved cited work.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Unresolved cited work

Reference 100

Resolution
verified exact
doi, observed 2026-07-01T15:55:48.387270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:a35a9fb364fcc54de9c83c0e9e298391f9a178029686ab7fa326d94cea62c491

Pith citing papers

Observation 591e072c-4a51-4bed-86dc-b156cc0cf09d · inbound

Twin Phases: Intrinsic Deconfined Quantum Criticality cites this paper.

Twin Phases: Intrinsic Deconfined Quantum Criticality Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-06-28T20:52:37.481806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-28T20:48:25.313678Z digest=sha256:44e1a91007bc5516783c6aadef0109a5fa4e66191f826b67ce9fdac3730b223a

Observation e48c0ef1-4916-4367-9fcd-3b55baa83844 · inbound

Understanding deconfined quantum critical points from crystalline categorical Landau paradigm cites this paper.

Understanding deconfined quantum critical points from crystalline categorical Landau paradigm Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-07-02T15:27:05.985381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T23:49:35.843071Z digest=sha256:db62ed3a3885a6e2114a9135b870c7086c11a05e2c932291584f3644c936717a

Observation 00b7bd40-4fa7-42ce-b1da-d0623335e5c5 · inbound

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking cites this paper.

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

Reference 134

Resolution
verified exact
local_arxiv, observed 2026-07-02T15:47:06.503890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T23:27:15.876739Z digest=sha256:27a68414ad2c7e39603bc9b487254a43d8c46557d6e83ed96c3033abaa7898dd

Observation b5183aa9-6529-4fa0-b73e-61af4acf942f · inbound

Tensor network study of deconfined quantum criticality in a one-dimensional spin-phonon model cites this paper.

Tensor network study of deconfined quantum criticality in a one-dimensional spin-phonon model Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-07-02T15:57:07.097732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T23:10:43.388419Z digest=sha256:84d828ba990f7994287c7ed17c30b21ca050fbe338985a4679725f619d4a1020