Paper Citation Record · LEDGER

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries

As of 17 August 2026, this Paper Citation Record lists 100 of 141 outbound references and 3 inbound Pith citation observations for arXiv:2504.18501.

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

pith.paper-citation-record.v1
2504.18501 v2

Coverage vector

measured 100 of 141 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:20:21.581464Z

measured 103 of 103 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:36:05.254747Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T23:11:16.270560Z

Reference resolution

100 of 141 outbound references displayed

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verified fuzzy0
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External citation measurements

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Outbound references

Observation 26ba6e80-ae75-4ab0-8b75-0b6d0ce3f5ff · outbound

This paper cites Two soluble models of an antiferromagnetic chain,.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Two soluble models of an antiferromagnetic chain,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.281891Z

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Observation 454460c2-0168-4459-b685-ee2b03fcb3e3 · outbound

This paper cites Lieb-Schultz-Mattis in Higher Dimensions.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Lieb-Schultz-Mattis in Higher Dimensions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.285410Z

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Observation 45946cfb-f9d1-4643-b872-6936436659e4 · outbound

This paper cites Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly Manifestation of Lieb-Schultz-Mattis Theorem and Topological Phases

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.288635Z

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Observation 594731bb-2963-4978-a429-55d891dc0da0 · outbound

This paper cites Lieb-Schultz-Mattis Theorem and its generalizations from the Perspective of the Symmetry Protected Topological phase.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Lieb-Schultz-Mattis Theorem and its generalizations from the Perspective of the Symmetry Protected Topological phase

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.292071Z

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Observation f6c632d9-ba05-4636-ba53-65a04fe138af · outbound

This paper cites Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.295296Z

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Observation c53383de-b237-47cb-bce1-cc11331524d0 · outbound

This paper cites Anomaly Obstructions to Symmetry Preserving Gapped Phases.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly Obstructions to Symmetry Preserving Gapped Phases

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.298333Z

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Observation 73fa972a-8f2a-4364-b1dc-704d493a4bd1 · outbound

This paper cites Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.301703Z

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Observation 53b9722d-0ac6-46ae-a77d-883364d0c0df · outbound

This paper cites Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.304749Z

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Observation 408391fc-0c21-41ad-8d19-98bf89776e31 · outbound

This paper cites Anomaly Enforced Gaplessness and Symmetry Fractionalization for $Spin_G$ Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly Enforced Gaplessness and Symmetry Fractionalization for $Spin_G$ Symmetries

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.307644Z

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Observation e25b7c1d-bb80-4cf6-b553-8dd93c2d7651 · outbound

This paper cites Anomaly Enforced Gaplessness for Background Flux Anomalies and Symmetry Fractionalization.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly Enforced Gaplessness for Background Flux Anomalies and Symmetry Fractionalization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.310730Z

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Observation 6fb0dd13-0c5d-4e9a-b46d-99deefdc65fd · outbound

This paper cites Constraints on Symmetry Preserving Gapped Phases from Coupling Constant Anomalies.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Constraints on Symmetry Preserving Gapped Phases from Coupling Constant Anomalies

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.313630Z

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Observation 0000f12d-e0a3-4e2a-8c29-4a2ff1ba8fcc · outbound

This paper cites Generalized Global Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Generalized Global Symmetries

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.316717Z

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Observation ec3f372f-354e-4f3e-a4ac-7732ec864485 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Duality Defects in 3+1 Dimensions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.319532Z

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Observation d231523a-43a3-47f5-800b-9702c09d2bf5 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.322677Z

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Observation d0a97e07-b601-4577-956c-0d1498760806 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.325396Z

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Observation 708d1e2f-4382-4c7e-8542-7511563b7b42 · outbound

This paper cites Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.328514Z

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Observation 75114929-0fd4-4c91-af4c-95421ad6db2c · outbound

This paper cites On the 6d Origin of Non-invertible Symmetries in 4d.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries On the 6d Origin of Non-invertible Symmetries in 4d

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.331468Z

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Observation 7881f3e0-a38e-4bd4-a343-6ac4b1cc5156 · outbound

This paper cites Non-invertible Time-reversal Symmetry.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible Time-reversal Symmetry

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.334281Z

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Observation e19d9efe-2667-4a4a-a7a6-e6d8a33f5975 · outbound

This paper cites The holography of non-invertible self-duality symmetries,.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries The holography of non-invertible self-duality symmetries,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.337239Z

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Observation 22a93a15-8390-457b-9215-b0923299dfe6 · outbound

This paper cites Non-invertible Symmetries of Class $\mathcal{S}$ Theories.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible Symmetries of Class $\mathcal{S}$ Theories

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.340244Z

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Observation 5a70558f-251d-4ade-ade5-bd4d6fd2f5d7 · outbound

This paper cites "Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries "Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.343525Z

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Observation 80bcce68-85d9-4ec8-b95a-da790150c55b · outbound

This paper cites When are Duality Defects Group-Theoretical?.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries When are Duality Defects Group-Theoretical?

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.346556Z

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Observation ec91d34f-b25d-4e81-af50-7ea45533bb5c · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomalies of Non-Invertible Symmetries in (3+1)d

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.349705Z

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Observation 97457e8d-8b2d-4ee8-bc32-f31be56d2009 · outbound

This paper cites Anomalies of non-invertible self-duality symmetries: fractionalization and gauging.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomalies of non-invertible self-duality symmetries: fractionalization and gauging

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.352758Z

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Observation a993ce16-fef9-4873-bcf5-681ef40d9c94 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Global Symmetries and Completeness of the Spectrum

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.355706Z

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Observation 86a76ddd-15e1-4f13-9d35-47efa7ef17b0 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Higher Gauging and Non-invertible Condensation Defects

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.358676Z

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Observation 1f3162b4-6ca0-479f-aa8f-791da34c2b7e · outbound

This paper cites Non-Invertible Higher-Categorical Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Higher-Categorical Symmetries

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.361655Z

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Observation 3679752a-9885-46bb-a9d6-5d0519df49f7 · outbound

This paper cites Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.365138Z

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Observation 6497c0fe-9c81-401c-bac6-9512c1b2376f · outbound

This paper cites Non-Invertible Chiral Symmetry and Exponential Hierarchies.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.368235Z

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Observation 5c97d9c4-d1b7-479d-b887-fb0e8d12fe61 · outbound

This paper cites Non-Invertible Defects in 5d, Boundaries and Holography.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Defects in 5d, Boundaries and Holography

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.371417Z

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Observation 69252370-d083-4c70-acd6-80953592a08e · outbound

This paper cites Universal Non-Invertible Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Universal Non-Invertible Symmetries

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.374617Z

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Observation 583540f1-33ff-453b-96bf-8b92958a83d6 · outbound

This paper cites Non-invertible Symmetries and Higher Representation Theory I.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible Symmetries and Higher Representation Theory I

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.378001Z

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Observation 1ee60891-c46a-4c46-98c0-d55be131aae8 · outbound

This paper cites Branes and Non-Invertible Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Branes and Non-Invertible Symmetries

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.380829Z

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Observation 85eef01c-1bec-4501-837f-df0d6ff2f849 · outbound

This paper cites Non-Invertible Symmetries from Holography and Branes.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Symmetries from Holography and Branes

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.383942Z

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Observation 96e1d461-0593-4865-9255-8d82530e925a · outbound

This paper cites Exploring Non-Invertible Symmetries in Free Theories.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Exploring Non-Invertible Symmetries in Free Theories

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.386831Z

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Observation e7448106-3417-461e-8579-6ac63b9eb87d · outbound

This paper cites Non-Invertible Gauss Law and Axions.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Gauss Law and Axions

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.390590Z

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Observation 520a5b17-2eff-4af1-b5ad-2a3e116e3229 · outbound

This paper cites Remarks on Geometric Engineering, Symmetry TFTs and Anomalies.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Remarks on Geometric Engineering, Symmetry TFTs and Anomalies

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.393932Z

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Observation d7d0b2d0-9ef1-4544-97ec-029b08784615 · outbound

This paper cites Non-invertible symmetries in axion electrodynamics.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible symmetries in axion electrodynamics

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.397154Z

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Observation 34abc93a-6fe7-46b9-86bf-42351da080ea · outbound

This paper cites Unifying Constructions of Non-Invertible Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Unifying Constructions of Non-Invertible Symmetries

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.400158Z

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Observation f8a47d14-7242-4e38-a0d5-11d185d5f959 · outbound

This paper cites Non-Invertible Symmetry Webs.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Symmetry Webs

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.403021Z

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Unavailable: canonical work link unavailable.

Observation c9ef00ac-b4e6-46cd-82f0-c7a5f95f2824 · outbound

This paper cites Non-invertible Symmetries and Higher Representation Theory II.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible Symmetries and Higher Representation Theory II

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.406051Z

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Observation f1a90993-2758-4974-9660-6d49b3b975e7 · outbound

This paper cites Non-Invertible Defects in Nonlinear Sigma Models and Coupling to Topological Orders.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Defects in Nonlinear Sigma Models and Coupling to Topological Orders

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.408923Z

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Observation 85aedaed-0f49-44a3-88d3-51643c095b2f · outbound

This paper cites Symmetry TFTs and Anomalies of Non-Invertible Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Symmetry TFTs and Anomalies of Non-Invertible Symmetries

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.411789Z

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Observation 24f109c4-6d0e-45be-868c-9d32e57ff618 · outbound

This paper cites Comments on Non-invertible Symmetries in Argyres-Douglas Theories.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Comments on Non-invertible Symmetries in Argyres-Douglas Theories

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.414876Z

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Observation c30cb38a-8ce1-4b14-9d3c-c8b45c8eefa0 · outbound

This paper cites Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT,.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT,

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.417822Z

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Observation 5aecbdba-8472-44c4-815f-2e37870e0aec · outbound

This paper cites Non-invertible symmetries along 4d RG flows.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible symmetries along 4d RG flows

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.420501Z

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Observation 454c041c-e054-436b-97b1-b4e5c4aca55d · outbound

This paper cites When $\mathbb{Z}_2$ one-form symmetry leads to non-invertible axial symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries When $\mathbb{Z}_2$ one-form symmetry leads to non-invertible axial symmetries

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.423428Z

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Observation 1024aef5-499f-49a0-ae76-34746a219748 · outbound

This paper cites Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.426426Z

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Observation b34ccf60-9450-479a-a47e-7d263eb34467 · outbound

This paper cites Higher Structure of Chiral Symmetry.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Higher Structure of Chiral Symmetry

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.429446Z

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Observation 2f2bb59c-5bb2-4231-8751-487450805dc0 · outbound

This paper cites Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A simple argument.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Action of the axial $U(1)$ non-invertible symmetry on the 't~Hooft line operator: A simple argument

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.432403Z

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Observation e78306ea-e10c-4260-88ee-5c1271cb4fcf · outbound

This paper cites Non-Invertible Symmetries, Brane Dynamics, and Tachyon Condensation.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Symmetries, Brane Dynamics, and Tachyon Condensation

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.435397Z

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Observation efbff5d6-4ace-4c68-9e79-b5aff6d789df · outbound

This paper cites Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.438445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a0138fe-7e20-400b-9d67-918b4d60e520 · outbound

This paper cites Quantization of Axion-Gauge Couplings and Non-Invertible Higher Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Quantization of Axion-Gauge Couplings and Non-Invertible Higher Symmetries

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.441427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b8eae7d-bc7c-48d3-8f55-32ff661c86c4 · outbound

This paper cites Axion Domain Walls, Small Instantons, and Non-Invertible Symmetry Breaking.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Axion Domain Walls, Small Instantons, and Non-Invertible Symmetry Breaking

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.444430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aae3b841-6273-4850-bfd8-f130ed3eb6f4 · outbound

This paper cites The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.447215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8cc8968-34a5-45a6-b66b-e1a7def2f094 · outbound

This paper cites Lattice realization of the axial $U(1)$ noninvertible symmetry.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Lattice realization of the axial $U(1)$ noninvertible symmetry

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.450144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 670cd5dd-fa6f-447e-a5fd-8b0ca311ea49 · outbound

This paper cites Emergent non-invertible symmetries in $\mathcal{N}=4$ Super-Yang-Mills theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Emergent non-invertible symmetries in $\mathcal{N}=4$ Super-Yang-Mills theory

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:20:22.470511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d855384-a30b-4d45-ba07-f053c0fd8ab4 · outbound

This paper cites Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.456008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5356849-9a73-4c7a-81f3-02be0161bcf9 · outbound

This paper cites The Non-Invertible Axial Symmetry in QED Comes Full Circle.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries The Non-Invertible Axial Symmetry in QED Comes Full Circle

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.459157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f66200af-1a8c-4d35-9843-b398eb42c7a8 · outbound

This paper cites The $SL_2(\mathbb{R})$ duality and the non-invertible $U(1)$ symmetry of Maxwell theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries The $SL_2(\mathbb{R})$ duality and the non-invertible $U(1)$ symmetry of Maxwell theory

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.462466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a7ab0c3-1508-4c29-a619-3a05a824c87f · outbound

This paper cites The Higher Structure of Symmetries of Axion-Maxwell Theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries The Higher Structure of Symmetries of Axion-Maxwell Theory

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.465574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d82fe66-2497-48b7-9074-42dbd6e1d3c2 · outbound

This paper cites Higher Representations and Quark Confinement.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Higher Representations and Quark Confinement

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.468575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a576091-61ec-48b3-9ef9-2785dc7de0e0 · outbound

This paper cites Non-invertible and higher-form symmetries in 2+1d lattice gauge theories.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Non-invertible and higher-form symmetries in 2+1d lattice gauge theories

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.471621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19085495-97af-4d52-961d-9a32e7311f6d · outbound

This paper cites Higgsing Transitions from Topological Field Theory & Non-Invertible Symmetry in Chern-Simons Matter Theories.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Higgsing Transitions from Topological Field Theory & Non-Invertible Symmetry in Chern-Simons Matter Theories

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.474764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dee93bb9-ac18-43f0-b11a-1a2a4758cbdb · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.477763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09bad903-d4b6-479b-97d3-335514aff95c · outbound

This paper cites Generalized Symmetries in Condensed Matter.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Generalized Symmetries in Condensed Matter

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.480625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd8bc6c4-bddb-4616-bd56-c37bc5fac69c · outbound

This paper cites Introduction to topological symmetry in QFT.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Introduction to topological symmetry in QFT

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.483621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11ab6775-ee50-436c-9050-8cb35d1cfda6 · outbound

This paper cites An Introduction to Higher-Form Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries An Introduction to Higher-Form Symmetries

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.486740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5b9b209-8cf8-4ede-af9b-46780872f530 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries ICTP Lectures on (Non-)Invertible Generalized Symmetries

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.489774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd829b77-4c25-4629-82fa-ba60b6896308 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Introduction to Generalized Global Symmetries in QFT and Particle Physics

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.492741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c15e689e-330e-4393-b3c2-1c1bcc1bdd49 · outbound

This paper cites Lectures on Generalized Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Lectures on Generalized Symmetries

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.495644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3d8dc3a-f855-4da7-bc1b-7a05342864b0 · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.498396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2703cc4-2247-4f18-9b32-644aec151ab6 · outbound

This paper cites Topological defects.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Topological defects

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.501296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00fddda3-72ea-417f-b4ae-bf81dcfc2ab9 · outbound

This paper cites Simons Lectures on Categorical Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Simons Lectures on Categorical Symmetries

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.504226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03b321f8-0f5f-4777-8948-79e0c056b37e · outbound

This paper cites Obstructions to Gapped Phases from Non-Invertible Symmetries.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Obstructions to Gapped Phases from Non-Invertible Symmetries

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.507385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb307e78-86fd-4d43-8dc2-ad1e082a5981 · outbound

This paper cites SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement,.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement,

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.510311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fad5bdd0-e54b-4302-bb79-226c1ee2c0be · outbound

This paper cites Interacting fermionic topological insulators/superconductors in three dimensions.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Interacting fermionic topological insulators/superconductors in three dimensions

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.513042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eb013f9-a7c0-4886-bf41-af9722a2e019 · outbound

This paper cites Composite fermi liquids in the lowest Landau level.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Composite fermi liquids in the lowest Landau level

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.515957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d223014-7faf-42d4-9727-765718017dbb · outbound

This paper cites Composite fermion duality for half-filled multicomponent Landau Levels.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Composite fermion duality for half-filled multicomponent Landau Levels

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.518992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05610c45-afe5-4ca7-b36c-3af25d75b02f · outbound

This paper cites Deconfined quantum critical points: symmetries and dualities.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Deconfined quantum critical points: symmetries and dualities

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.521761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59244445-ee2c-4c9b-8961-10ae39d6efd5 · outbound

This paper cites Fusion 3-Categories for Duality Defects.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Fusion 3-Categories for Duality Defects

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.524638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76354982-b40a-45db-9b69-99be9ced878b · outbound

This paper cites Emergent Non-Invertible Symmetries Bridging UV and IR Phases -- The Adjoint QCD Example.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Emergent Non-Invertible Symmetries Bridging UV and IR Phases -- The Adjoint QCD Example

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.527519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 337d532d-eb92-4d64-8257-2117edc3ad01 · outbound

This paper cites Representation Theory of Solitons.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Representation Theory of Solitons

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.530462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63bbdaa6-95c7-481f-9dc3-bb46467ea8c4 · outbound

This paper cites Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States,.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States,

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.533544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c75b96dd-8427-4b89-b76f-085580052784 · outbound

This paper cites Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.536420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 364c3b07-e865-4182-8760-d0514ea6e3f4 · outbound

This paper cites Coupling a QFT to a TQFT and Duality.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Coupling a QFT to a TQFT and Duality

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.539252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9a0a6f8-265c-4921-bfa3-9b4f963c29d2 · outbound

This paper cites Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.542331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83361bcd-dd68-49be-9a28-7018c2e529e6 · outbound

This paper cites Orbifold groupoids.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Orbifold groupoids

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.545172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c765a58-ca84-4ea5-a72c-756b69aaaa1d · outbound

This paper cites Symmetry TFTs from String Theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Symmetry TFTs from String Theory

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.548140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 802acabf-a82c-4974-b144-896a636c8d50 · outbound

This paper cites Topological symmetry in quantum field theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Topological symmetry in quantum field theory

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.551452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4433c3ae-a810-49bb-8f4f-8cf71826c641 · outbound

This paper cites Symmetry TFTs for Non-Invertible Defects.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Symmetry TFTs for Non-Invertible Defects

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.554640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10f5ac79-be19-4ce4-abd4-3ba262729fd0 · outbound

This paper cites On the classification of topological orders.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries On the classification of topological orders

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.557921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94c5905c-56d7-4ec8-af50-4a991d9dde2e · outbound

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

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Topological Orders in (4+1)-Dimensions

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.560782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3948740d-81a2-473e-81ea-be28ef111d47 · outbound

This paper cites Classification of (3+1)D Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons,.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Classification of (3+1)D Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons,

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.563656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f61f3f5d-2b71-434c-bc7c-2885e98a11c6 · outbound

This paper cites Classification of topological phases with finite internal symmetries in all dimensions.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Classification of topological phases with finite internal symmetries in all dimensions

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.566426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1b3f45e-6dbb-49b1-b251-8c82d715b99f · outbound

This paper cites New Phenomena in SU(3) Supersymmetric Gauge Theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries New Phenomena in SU(3) Supersymmetric Gauge Theory

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.569480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1a785a2-2eb8-4703-b6fd-afbf9bf498de · outbound

This paper cites Anomaly of the Electromagnetic Duality of Maxwell Theory.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Anomaly of the Electromagnetic Duality of Maxwell Theory

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.572457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ae38f32-9f9e-46a7-8e37-f49b5db29364 · outbound

This paper cites Quantum Duality in Electromagnetism and the Fine-Structure Constant.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Quantum Duality in Electromagnetism and the Fine-Structure Constant

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.575472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de245cbc-96f7-456a-b644-a6a9d3690397 · outbound

This paper cites Topological dualities in the Ising model.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Topological dualities in the Ising model

Reference 99

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.578416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46aa74e1-3f78-4945-b54f-7b3b4de2f346 · outbound

This paper cites an unresolved cited work.

SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries Unresolved cited work

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-16T10:20:21.581464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 9e041f3a-c8df-4ed8-ac91-a19bcd7f3be4 · inbound

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On the Physics of Higher Condensation Defects SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-07T10:50:54.212279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 670db09f-24d2-4fca-96aa-b24e1df7c1ed · inbound

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The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise SymTFT, Protected Gaplessness, and Spontaneous Breaking of Non-invertible Symmetries

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-11T23:11:16.278778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1de4fa7c-f7f3-4a79-8193-b82d5d0d3a10 · inbound

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Reference 118

Resolution: unresolved; no resolver link, observed 2026-08-14T04:36:05.254747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.