Paper Citation Record · LEDGER

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

As of 23 August 2026, this Paper Citation Record lists 100 of 101 outbound references and 9 inbound Pith citation observations for arXiv:2412.16681.

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

pith.paper-citation-record.v1
2412.16681 v1

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measured 100 of 101 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T10:27:55.104114Z

measured 109 of 109 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:43:06.347201Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T13:57:00.234251Z

Reference resolution

100 of 101 outbound references displayed

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Outbound references

Observation 5eabed11-2d49-4973-b50d-cd1ae96cb8c7 · outbound

This paper cites Topological Gauge Theories and Group Cohomology,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological Gauge Theories and Group Cohomology,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.647941Z

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Observation d12c90d3-016e-484f-a7ac-760a8e10aacd · outbound

This paper cites Non-invertible symmetries in finite-group gauge theory.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-invertible symmetries in finite-group gauge theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.652356Z

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Observation 131442db-f942-4759-98c0-29480895ad71 · outbound

This paper cites Generalized global symmetries,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Generalized global symmetries,

Reference 3

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Observation 7553bf66-44ec-434c-b18d-1a23fe9ee7bb · outbound

This paper cites Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.660311Z

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Observation 86fdaf8a-39a3-4a37-a1b0-7e95bf48c11a · outbound

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

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.668734Z

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Observation d356712f-a9e6-4b1c-af01-650e94603f77 · outbound

This paper cites Lecture Notes on Generalized Symmetries and Applications.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Lecture Notes on Generalized Symmetries and Applications

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.673466Z

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Observation 3e01f1d6-b2e2-4c2c-b66d-854b1708631e · outbound

This paper cites Lectures on Generalized Symmetries.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Lectures on Generalized Symmetries

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.678629Z

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Observation 59b2d476-89cb-404d-8e45-9ae181180356 · outbound

This paper cites ICTP Lectures on (Non-)Invertible Generalized Symmetries.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories ICTP Lectures on (Non-)Invertible Generalized Symmetries

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.682967Z

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Observation 670922c3-c455-48d8-af5e-19c1ab2aa7c1 · outbound

This paper cites Jena lectures on generalized global symmetries: principles and applications.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Jena lectures on generalized global symmetries: principles and applications

Reference 9

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Observation a4fc0fe2-0c58-4c07-971b-49c9033b2faf · outbound

This paper cites Introduction to Generalized Global Symmetries in QFT and Particle Physics.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Introduction to Generalized Global Symmetries in QFT and Particle Physics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.692124Z

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Observation 54858f65-621b-4644-be55-57124fb6b105 · outbound

This paper cites Generalized Symmetries in Condensed Matter.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Generalized Symmetries in Condensed Matter

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.696321Z

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Observation dfceb2d0-dd47-47d6-94c2-3641892e2b14 · outbound

This paper cites An Introduction to Higher-Form Symmetries.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories An Introduction to Higher-Form Symmetries

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.701663Z

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Observation c17d62ac-9f25-48c2-b0e3-bc0004059235 · outbound

This paper cites Simons Lectures on Categorical Symmetries.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Simons Lectures on Categorical Symmetries

Reference 13

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Observation 43180581-2c37-439b-814e-f91d7309fd5f · outbound

This paper cites AdS/CFT Correspondence And Topological Field Theory.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories AdS/CFT Correspondence And Topological Field Theory

Reference 14

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Observation 81dc3ae2-b1d0-4db8-b9c7-3abc5b23b77e · outbound

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

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers

Reference 15

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Observation 943a6775-5400-4f33-851c-6112f957b241 · outbound

This paper cites Orbifold groupoids.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Orbifold groupoids

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.723022Z

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Observation 8140435f-6971-4d84-83ef-0046f78068eb · outbound

This paper cites Topological symmetry in quantum field theory.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological symmetry in quantum field theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.727855Z

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Observation 0ac7312e-4313-47cb-8148-e03e7b67a4a9 · outbound

This paper cites Symmetry TFTs for Non-Invertible Defects.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Symmetry TFTs for Non-Invertible Defects

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.732115Z

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Observation 86c209ba-a160-4eaa-ae68-b23d6703fda8 · outbound

This paper cites Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.736721Z

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Observation d0c20d6a-ea6f-42d9-bd77-146b5c42dd96 · outbound

This paper cites Classification of (3 + 1)D bosonic topological orders: The case when pointlike excitations are all bosons,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Classification of (3 + 1)D bosonic topological orders: The case when pointlike excitations are all bosons,

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T10:27:55.186137Z

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Observation 77ecf481-f615-4c88-9814-3f0353aeb9c7 · outbound

This paper cites Classification of 3 + 1D bosonic topological orders (ii): The case when some pointlike excitations are fermions,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Classification of 3 + 1D bosonic topological orders (ii): The case when some pointlike excitations are fermions,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.743481Z

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Observation 5fbf75b2-ec77-4c23-9486-df7dc7db820d · outbound

This paper cites On the classification of topological orders.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories On the classification of topological orders

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.749023Z

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Observation f5160751-ff44-4984-bfb6-8b9fcde531f5 · outbound

This paper cites Fusion 2-categories with no line operators are grouplike.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Fusion 2-categories with no line operators are grouplike

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.753331Z

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Observation ee0dd1a8-9ec5-4a82-b362-7c4a890dc0bd · outbound

This paper cites Topological Orders in (4+1)-Dimensions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological Orders in (4+1)-Dimensions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.757808Z

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Observation ddaea460-f0c2-4dc0-878e-e46068b16b66 · outbound

This paper cites Anomalies of Non-Invertible Symmetries in (3+1)d.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Anomalies of Non-Invertible Symmetries in (3+1)d

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.762006Z

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Observation 4070d4dd-5c16-4c41-b826-c4682933aa94 · outbound

This paper cites Anyon condensation and tensor categories.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Anyon condensation and tensor categories

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.766430Z

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Observation ee94830e-f38a-4f0c-bc88-48417445ff29 · outbound

This paper cites Diagrammatics for Bose condensation in anyon theories.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Diagrammatics for Bose condensation in anyon theories

Reference 27

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Observation 7da250a9-de1d-4ec3-88b6-66e52dba28b5 · outbound

This paper cites Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy

Reference 28

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Observation 2be4a23a-9e42-491e-a6ba-8a8530515763 · outbound

This paper cites Generalized ADE Classification of Gapped Domain Walls.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Generalized ADE Classification of Gapped Domain Walls

Reference 29

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Observation 1cb885a6-3093-401a-b820-5787c6709203 · outbound

This paper cites Boson Condensation in Topologically Ordered Quantum Liquids.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Boson Condensation in Topologically Ordered Quantum Liquids

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:27:56.343532Z

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Observation 94e90c5b-c74e-4c06-ae63-956ebe231874 · outbound

This paper cites Anyon condensation and its applications.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Anyon condensation and its applications

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.789873Z

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Observation 6c0c5ff5-88a6-427d-88f5-d10f0ff03c86 · outbound

This paper cites On gauging finite subgroups.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories On gauging finite subgroups

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.794106Z

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Observation 98663d2d-f262-4032-88ae-21bad84145a7 · outbound

This paper cites On finite symmetries and their gauging in two dimensions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories On finite symmetries and their gauging in two dimensions

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.798547Z

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Observation 21699ab7-24c1-47ed-9024-cad8098a4665 · outbound

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

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological Phases of Matter

Reference 34

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Observation 7e195225-a942-43d8-b4c5-f923ffc66cc3 · outbound

This paper cites Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.806964Z

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Observation ed216fa8-6bf5-437e-b804-a40b1661a508 · outbound

This paper cites Higher central charges and topological boundaries in 2+1-dimensional TQFTs.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Higher central charges and topological boundaries in 2+1-dimensional TQFTs

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.811232Z

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Observation 3d69f679-c053-4526-912a-c17215ff962f · outbound

This paper cites Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Gauging Categorical Symmetries in 3d Topological Orders and Bulk Reconstruction

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.815645Z

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Observation 1e229642-b71a-4ed6-b038-069617e002c6 · outbound

This paper cites Gauging Noninvertible Defects: A 2-Categorical Perspective.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Gauging Noninvertible Defects: A 2-Categorical Perspective

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.823949Z

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Observation 60af533e-955a-4fe7-a063-68b6f5efd22a · outbound

This paper cites Gauging non-invertible symmetries: topological interfaces and generalized orbifold groupoid in 2d QFT,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Gauging non-invertible symmetries: topological interfaces and generalized orbifold groupoid in 2d QFT,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.829421Z

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Observation 4eb2f74c-4aae-4771-8f83-34e2e892f7db · outbound

This paper cites Non-Invertible Anyon Condensation and Level-Rank Dualities.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-Invertible Anyon Condensation and Level-Rank Dualities

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.833529Z

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Observation 4079b081-2b9e-4892-983b-e53a3d726b5e · outbound

This paper cites Hierarchy construction for non-abelian fractional quantum Hall states via anyon condensation.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Hierarchy construction for non-abelian fractional quantum Hall states via anyon condensation

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.837944Z

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Observation 596fb213-a3b1-48ef-b6e8-ffded02e76c6 · outbound

This paper cites Topological Cosets via Anyon Condensation and Applications to Gapped $\mathrm{\bf{QCD_{2}}}$.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological Cosets via Anyon Condensation and Applications to Gapped $\mathrm{\bf{QCD_{2}}}$

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.842283Z

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Observation 866a3d82-a1ec-4c48-8cd5-6c753791a415 · outbound

This paper cites Higher condensation theory,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Higher condensation theory,

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.846644Z

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Observation 2823fe91-315b-4bc6-a102-dc41e76e6fea · outbound

This paper cites Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.850506Z

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Observation 85bd2f30-19dc-4752-b999-1afb5e91ca65 · outbound

This paper cites Line and surface defects in Reshetikhin-Turaev TQFT.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Line and surface defects in Reshetikhin-Turaev TQFT

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.855045Z

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Observation 75f69441-7630-47d9-858a-2ffe1bcb8f1c · outbound

This paper cites Condensations in higher categories.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Condensations in higher categories

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.861512Z

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Observation 7b606eaa-5cf7-49d3-a249-2076e9035ff3 · outbound

This paper cites Defects in the 3-dimensional toric code model form a braided fusion 2-category.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Defects in the 3-dimensional toric code model form a braided fusion 2-category

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.865961Z

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Observation d25d2a03-bb4d-4026-8b9a-9e55699718bb · outbound

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

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Higher Gauging and Non-invertible Condensation Defects

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.870160Z

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Observation 68a3afd4-e76a-4c42-96d3-22a6be5daae6 · outbound

This paper cites Non-Invertible Surface Defects in 2+1d QFTs from Half Spacetime Gauging.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-Invertible Surface Defects in 2+1d QFTs from Half Spacetime Gauging

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.874109Z

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Observation 4a780eec-046e-4a5e-82e8-da239f16a19a · outbound

This paper cites Systematic construction of stabilizer codes via gauging abelian boundary symmetries.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Systematic construction of stabilizer codes via gauging abelian boundary symmetries

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:27:55.999457Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9626bebc-9210-435c-b6ce-4f7ff7f078d5 · outbound

This paper cites Noninvertible operators in one, two, and three dimensions via gauging spatially modulated symmetry.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Noninvertible operators in one, two, and three dimensions via gauging spatially modulated symmetry

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:27:55.982242Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4d29459e-f16f-4dc8-abba-accab3d80e73 · outbound

This paper cites Gauge Defects.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Gauge Defects

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.885988Z

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Observation 81e84d2f-b37f-46ba-9198-86d3c67ebb2b · outbound

This paper cites Decomposition, condensation defects, and fusion.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Decomposition, condensation defects, and fusion

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.890008Z

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Observation a6d1baff-1818-40ce-a230-c28361aee5e6 · outbound

This paper cites Protocols for Creating Anyons and Defects via Gauging,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Protocols for Creating Anyons and Defects via Gauging,

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.894227Z

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Observation 92d77f6e-0868-4b45-b8cc-415d7b97f480 · outbound

This paper cites Orbifolds of Reshetikhin-Turaev TQFTs.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Orbifolds of Reshetikhin-Turaev TQFTs

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.898192Z

Source-reported events for the cited work

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Observation 2bf9bc72-6045-4c4d-9fc9-89aeeeab50c2 · outbound

This paper cites Constructing modular categories from orbifold data.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Constructing modular categories from orbifold data

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.902265Z

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Observation 4f797033-8516-4321-a5c9-46c4583b7bd7 · outbound

This paper cites Domain walls between 3d phases of Reshetikhin-Turaev TQFTs.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Domain walls between 3d phases of Reshetikhin-Turaev TQFTs

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.906157Z

Source-reported events for the cited work

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Observation 1849b3ed-18cb-4cb9-9b58-c9a351e5f2d2 · outbound

This paper cites Orbifold graph TQFTs.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Orbifold graph TQFTs

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.910378Z

Source-reported events for the cited work

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Observation a3d88696-ab78-4c52-85c2-07d9b8ba986e · outbound

This paper cites Reshetikhin-Turaev TQFTs close under generalised orbifolds.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Reshetikhin-Turaev TQFTs close under generalised orbifolds

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.913852Z

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Observation 5c0f5498-2bd5-4f76-9bfa-7798b506639e · outbound

This paper cites Remarks on Boundaries, Anomalies, and Noninvertible Symmetries.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Remarks on Boundaries, Anomalies, and Noninvertible Symmetries

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.917988Z

Source-reported events for the cited work

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Observation 50c02b63-d61b-4fed-bd3f-2132226f1185 · outbound

This paper cites Self-duality under gauging a non-invertible symmetry.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Self-duality under gauging a non-invertible symmetry

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.921815Z

Source-reported events for the cited work

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Observation e4650620-a561-4aad-996c-99d83971b675 · outbound

This paper cites Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.926151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7df57e22-766e-4789-b8b5-690c10128344 · outbound

This paper cites Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.930799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33d07d9e-99fb-46d8-8e16-e20e28d754ac · outbound

This paper cites Higher-group symmetry in finite gauge theory and stabilizer codes.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Higher-group symmetry in finite gauge theory and stabilizer codes

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.935177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1aafa15-7edd-4357-a29a-e244df39205c · outbound

This paper cites Bicategories for boundary conditions and for surface defects in 3-d tft,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Bicategories for boundary conditions and for surface defects in 3-d tft,

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.939334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 760371ba-4370-48db-a24e-765434131271 · outbound

This paper cites Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.943077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e23a243-6076-471b-b90b-67d7aa61b589 · outbound

This paper cites Bicategories for boundary conditions and for surface defects in 3-d TFT.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Bicategories for boundary conditions and for surface defects in 3-d TFT

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.946985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ce476bf-050e-4b6d-bec4-439602191a24 · outbound

This paper cites Topological Defect Lines and Renormalization Group Flows in Two Dimensions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.951158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0d96047-802c-4198-8830-21b6dc3b5fee · outbound

This paper cites Symmetries and Strings of Adjoint QCD${}_2$.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Symmetries and Strings of Adjoint QCD${}_2$

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.955944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f312a9e-05a6-4d1e-b816-f99d551f235e · outbound

This paper cites Non-Invertible Duality Defects in 3+1 Dimensions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-Invertible Duality Defects in 3+1 Dimensions

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.960224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2647dfa-ed1e-4601-9900-b51e77880f2e · outbound

This paper cites Kramers-Wannier-like duality defects in (3+1)d gauge theories.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.964991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afa3b159-c20b-4bbc-9d72-88c186f0d5ac · outbound

This paper cites Topological Defect Lines in Two Dimensional Fermionic CFTs.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological Defect Lines in Two Dimensional Fermionic CFTs

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.969003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5339877a-6a39-40e1-8149-a72f60a82538 · outbound

This paper cites TFT construction of RCFT correlators I: Partition functions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories TFT construction of RCFT correlators I: Partition functions

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.972892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adaebd61-0a3d-4e32-8f0f-65787a5b53fe · outbound

This paper cites TFT construction of RCFT correlators II: Unoriented world sheets.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories TFT construction of RCFT correlators II: Unoriented world sheets

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.976910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c484ac31-3ac1-4c0e-aa37-87738a192914 · outbound

This paper cites TFT construction of RCFT correlators III: Simple currents.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories TFT construction of RCFT correlators III: Simple currents

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.980969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e90e2a49-8af3-496b-bdb5-5947413dd330 · outbound

This paper cites TFT construction of RCFT correlators IV: Structure constants and correlation functions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories TFT construction of RCFT correlators IV: Structure constants and correlation functions

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.984935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c990a367-dafc-42f9-896e-d9258670c5af · outbound

This paper cites Kramers-Wannier duality from conformal defects.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Kramers-Wannier duality from conformal defects

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.989304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94cff3d0-f4ad-4066-b40e-43e7b7cd7c1b · outbound

This paper cites Duality and defects in rational conformal field theory.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Duality and defects in rational conformal field theory

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.993582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b13f377d-409b-43b6-a928-0ac6f3746d61 · outbound

This paper cites Fault-tolerant quantum computation by anyons.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Fault-tolerant quantum computation by anyons

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:54.997489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f559a9c-10a2-410f-9d20-6789092c328e · outbound

This paper cites Topological boundary conditions in abelian Chern-Simons theory.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological boundary conditions in abelian Chern-Simons theory

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.001408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c012d78-9225-4f5a-b20d-c930769852c4 · outbound

This paper cites Topological order: from long-range entangled quantum matter to an unification of light and electrons.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Topological order: from long-range entangled quantum matter to an unification of light and electrons

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.005259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aa873ec-c80d-4a19-9bca-f21454b7b3b9 · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.010081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cfa9095-258f-4d58-9191-9dba3bb62808 · outbound

This paper cites Cheshire charge in (3+1)-D topological phases.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Cheshire charge in (3+1)-D topological phases

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.019047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb58b00f-56f2-4cc1-958b-00556c11e140 · outbound

This paper cites (3+1)D topological orders with only a $\mathbb{Z}_2$-charged particle.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories (3+1)D topological orders with only a $\mathbb{Z}_2$-charged particle

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.023563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d67f96fc-4d4e-49fe-9b7a-159bb36f54c0 · outbound

This paper cites Sequential Quantum Circuits as Maps between Gapped Phases.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Sequential Quantum Circuits as Maps between Gapped Phases

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.029000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98ea454b-24d9-4e70-957b-f88977c24a97 · outbound

This paper cites String operators for Cheshire strings in topological phases.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories String operators for Cheshire strings in topological phases

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.034077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9622b580-fa13-44d5-b9db-161b26cf1335 · outbound

This paper cites String operators for cheshire strings in topological phases,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories String operators for cheshire strings in topological phases,

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.038161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d52453d-382a-4b71-bf73-9d22ac1e45af · outbound

This paper cites Module categories, weak hopf algebras and modular invariants,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Module categories, weak hopf algebras and modular invariants,

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.042957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f8e6190-0a45-464a-9c08-65f74982c466 · outbound

This paper cites Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.048874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b44d9eca-ccf2-445e-b866-7b8a22cf246f · outbound

This paper cites Automorphisms of finite Abelian groups.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Automorphisms of finite Abelian groups

Reference 90

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:27:55.479925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3521a95f-160a-4776-a1df-8e083c42a53b · outbound

This paper cites Generating sets.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Generating sets

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.060933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2087837-d970-4ae6-96c8-d5781d535edf · outbound

This paper cites Modular invariance and discrete torsion on orbifolds,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Modular invariance and discrete torsion on orbifolds,

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.065512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2077cf43-b981-406e-9997-97b6a4ada094 · outbound

This paper cites On Orbifolds with Discrete Torsion.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories On Orbifolds with Discrete Torsion

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.070796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d98d3fc-9f63-4adb-9073-d42544e7b681 · outbound

This paper cites Shortest Route to Non-Abelian Topological Order on a Quantum Processor.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Shortest Route to Non-Abelian Topological Order on a Quantum Processor

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.075668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d77d59d-d329-4ce5-aace-5927d4483f79 · outbound

This paper cites Gauging permutation symmetries as a route to non-Abelian fractons.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Gauging permutation symmetries as a route to non-Abelian fractons

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.081241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3ae5073-c4df-455e-a9a7-e36135c0b496 · outbound

This paper cites Confinement in partially broken abelian Chern-Simons theories.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Confinement in partially broken abelian Chern-Simons theories

Reference 96

Resolution: verified exact; local_arxiv, observed 2026-08-11T10:27:55.250580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 30e0e416-df1a-4ffa-892d-a0b06731aef6 · outbound

This paper cites Finite group modular data,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Finite group modular data,

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.090746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 151fc4aa-4b43-4a21-9876-9f2cc3ac74a0 · outbound

This paper cites Tensor Categories with Fusion Rules of Self-Duality for Finite Abelian Groups,.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Tensor Categories with Fusion Rules of Self-Duality for Finite Abelian Groups,

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.094924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9620b4e0-c4a4-4448-b688-854fa3959b5e · outbound

This paper cites Non-Invertible Global Symmetries and Completeness of the Spectrum.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-Invertible Global Symmetries and Completeness of the Spectrum

Reference 99

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.098931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cc1320d-a7f8-41c3-9848-fda438499c2b · outbound

This paper cites Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum.

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-11T10:27:55.104114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 5e7e185f-38ae-487c-9e47-923963b27ca1 · inbound

Generalized Symmetries Phase Transitions with Local Quantum Fields cites this paper.

Generalized Symmetries Phase Transitions with Local Quantum Fields Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T05:43:06.347201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86ca2ea4-fdbc-473a-be7d-0323f16425fe · inbound

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates cites this paper.

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-17T20:20:11.625688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c99a0de-dec4-44b4-a525-15633a4b73d8 · inbound

On the SymTFTs of Finite Non-Abelian Symmetries cites this paper.

On the SymTFTs of Finite Non-Abelian Symmetries Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 56

Resolution: verified exact; arxiv_id, observed 2026-05-15T11:35:31.508561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18e0ed97-e5d4-4571-a42f-e3ac25d36aa6 · inbound

On Lagrangians of Non-abelian Dijkgraaf-Witten Theories cites this paper.

On Lagrangians of Non-abelian Dijkgraaf-Witten Theories Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:08:17.138064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 14981d1f-2b1b-46b4-ab9c-22fc0912312f · inbound

On Lagrangians of Non-abelian Dijkgraaf-Witten Theories cites this paper.

On Lagrangians of Non-abelian Dijkgraaf-Witten Theories Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-13T13:50:27.597426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11d53778-b0d9-4b9d-8fa6-ae3c2f2fe3ea · inbound

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs cites this paper.

From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-11T20:56:13.609375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 800b1439-62b9-479d-9ad7-df9db5e08f4f · inbound

Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions cites this paper.

Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-05-14T20:37:58.390380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 30a50185-26e2-4856-8753-67ccebf2e006 · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

Reference 100

Resolution: verified exact; arxiv_id, observed 2026-07-02T13:57:00.235657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 72d41aca-d5f4-4659-92a3-4ac97fdbb3c0 · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

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