Paper Citation Record · LEDGER

The Classification of 3+1d Symmetry Enriched Topological Order

As of 16 August 2026, this Paper Citation Record lists 100 of 102 outbound references and 4 inbound Pith citation observations for arXiv:2509.10603.

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pith.paper-citation-record.v1
2509.10603 v3

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measured 100 of 102 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T16:09:46.144217Z

measured 104 of 104 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 4 of 4 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-08-02T13:23:38.610125Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-06-30T12:54:40.164595Z

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100 of 102 outbound references displayed

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Outbound references

Observation 8aee9cd6-2ad4-481d-90af-1b0b84ba2aa2 · outbound

This paper cites Categorical Anomaly Matching.

The Classification of 3+1d Symmetry Enriched Topological Order Categorical Anomaly Matching

Reference 1

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Observation 66ed0c97-0ede-4fe2-a379-ea5d4bfed783 · outbound

This paper cites Absolute anomalies in (2+1)D symmetry-enriched topological states and exact (3+1)D constructions.

The Classification of 3+1d Symmetry Enriched Topological Order Absolute anomalies in (2+1)D symmetry-enriched topological states and exact (3+1)D constructions

Reference 2

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Observation 0083488d-f91b-456e-889c-b62578cb559a · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 3

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Observation 0d2e590d-8f53-4ea8-bcad-7cb4019c6315 · outbound

This paper cites Representation theory for categorical symmetries.

The Classification of 3+1d Symmetry Enriched Topological Order Representation theory for categorical symmetries

Reference 4

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Observation 46a72d6d-ad38-4d7b-9d9c-20c6efd0ee93 · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

The Classification of 3+1d Symmetry Enriched Topological Order Categorical Landau Paradigm for Gapped Phases

Reference 5

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Observation 7d2feae5-2d6b-41c3-bba9-2dbd2c6208cc · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 6

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Observation 03fed417-b3e9-43f1-9285-530cd3fad07c · outbound

This paper cites Gapped Phases with Non-Invertible Symmetries: (1+1)d.

The Classification of 3+1d Symmetry Enriched Topological Order Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 7

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Observation 4425fa97-3b7c-41be-b9af-db9cf4881bb6 · outbound

This paper cites Relative Anomalies in (2+1)D Symmetry Enriched Topological States.

The Classification of 3+1d Symmetry Enriched Topological Order Relative Anomalies in (2+1)D Symmetry Enriched Topological States

Reference 8

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Observation 3e976b43-ec1f-4707-b82f-fd494275b490 · outbound

This paper cites Classification of (2+1)D invertible fermionic topological phases with symmetry.

The Classification of 3+1d Symmetry Enriched Topological Order Classification of (2+1)D invertible fermionic topological phases with symmetry

Reference 9

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Observation 157ddfc8-0051-4eb2-a932-5f5a5853af46 · outbound

This paper cites Fusion 3-Categories for Duality Defects.

The Classification of 3+1d Symmetry Enriched Topological Order Fusion 3-Categories for Duality Defects

Reference 10

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Observation eadda3db-2255-492c-a41e-b633cf862a06 · outbound

This paper cites Comments on Global Symmetries, Anomalies, and Duality in (2+1)d.

The Classification of 3+1d Symmetry Enriched Topological Order Comments on Global Symmetries, Anomalies, and Duality in (2+1)d

Reference 11

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Observation 10c9aaab-707d-4508-87ac-3067f9fa05ca · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I.

The Classification of 3+1d Symmetry Enriched Topological Order Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 12

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Observation d0e42976-5570-4019-831a-516f5d701fab · outbound

This paper cites Hasse diagrams for gapless SPT and SSB phases with non-invertible symmetries.

The Classification of 3+1d Symmetry Enriched Topological Order Hasse diagrams for gapless SPT and SSB phases with non-invertible symmetries

Reference 13

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Observation e3a65f58-7457-47ab-8a29-471a77fd4226 · outbound

This paper cites Generalized charges, part II : Non-invertible symmetries and the symmetry TFT.

The Classification of 3+1d Symmetry Enriched Topological Order Generalized charges, part II : Non-invertible symmetries and the symmetry TFT

Reference 14

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Observation 8d9c7531-73e9-4f38-b53d-1150e3c0b797 · outbound

This paper cites Generalized Charges, Part I: Invertible Symmetries and Higher Representations.

The Classification of 3+1d Symmetry Enriched Topological Order Generalized Charges, Part I: Invertible Symmetries and Higher Representations

Reference 15

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Observation 0f263f1b-3ff8-486e-b9a8-eeea098cbb97 · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II.

The Classification of 3+1d Symmetry Enriched Topological Order Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II

Reference 16

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Observation cb37828d-12e7-43ff-8e79-bf7d0a22a144 · outbound

This paper cites Broken quantum symmetry and confinement phases in planar physics.

The Classification of 3+1d Symmetry Enriched Topological Order Broken quantum symmetry and confinement phases in planar physics

Reference 17

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Observation 6e50ad18-edb0-4bce-85c2-5e36cfee8be0 · outbound

This paper cites Hopf symmetry breaking and confinement in (2+1)-dimensional gauge theory.

The Classification of 3+1d Symmetry Enriched Topological Order Hopf symmetry breaking and confinement in (2+1)-dimensional gauge theory

Reference 18

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Observation f8f26780-cc12-4c49-bc97-27107fbd2628 · outbound

This paper cites Dynamics of QCD$_{3}$ with Rank-Two Quarks And Duality.

The Classification of 3+1d Symmetry Enriched Topological Order Dynamics of QCD$_{3}$ with Rank-Two Quarks And Duality

Reference 19

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Observation c7713f67-40aa-45e0-b6c4-d2a461207ed9 · outbound

This paper cites Exceptional Chern-Simons-Matter Dualities.

The Classification of 3+1d Symmetry Enriched Topological Order Exceptional Chern-Simons-Matter Dualities

Reference 20

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Observation 0f4231f5-ba48-44df-88a8-45e1ee1f6825 · outbound

This paper cites Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups.

The Classification of 3+1d Symmetry Enriched Topological Order Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups

Reference 21

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Observation 4345c32b-23c5-44ba-a87b-a4a83b0a2c7d · outbound

This paper cites Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$.

The Classification of 3+1d Symmetry Enriched Topological Order Time-Reversal Symmetry, Anomalies, and Dualities in (2+1)$d$

Reference 22

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Observation 24fff368-8232-4a79-bb87-a7bf417b3c7e · outbound

This paper cites Anomaly Obstructions to Symmetry Preserving Gapped Phases.

The Classification of 3+1d Symmetry Enriched Topological Order Anomaly Obstructions to Symmetry Preserving Gapped Phases

Reference 23

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Observation c340180d-48b1-40b5-bb46-0ac1e96aaaa3 · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Anomaly Constraints on Gapped Phases with Discrete Chiral Symmetry

Reference 24

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Observation e7fe4d63-8ede-43a2-ba46-bada715965f9 · outbound

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The Classification of 3+1d Symmetry Enriched Topological Order Unresolved cited work

Reference 25

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Observation a874db31-fa0a-4b07-8cbd-c486a7879a8a · outbound

This paper cites (3+1)d boundary topological order of (4+1)d fermionic SPT state.

The Classification of 3+1d Symmetry Enriched Topological Order (3+1)d boundary topological order of (4+1)d fermionic SPT state

Reference 26

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Observation f1f78083-1f96-4095-b0ac-16ed5ea07d5c · outbound

This paper cites Rigid and Separable Algebras in Fusion 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order Rigid and Separable Algebras in Fusion 2-Categories

Reference 27

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Observation bc6cc42f-27ad-40c8-92a7-e9175093c936 · outbound

This paper cites Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier D\'ecoppet and Theo Johnson-Freyd).

The Classification of 3+1d Symmetry Enriched Topological Order Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier D\'ecoppet and Theo Johnson-Freyd)

Reference 28

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Observation 99357b1d-2637-4bb4-aaaa-c3e3e837b905 · outbound

This paper cites Drinfeld Centers and Morita Equivalence Classes of Fusion 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order Drinfeld Centers and Morita Equivalence Classes of Fusion 2-Categories

Reference 29

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Observation 18f97497-3334-428a-b9ac-f097f6c77392 · outbound

This paper cites Finite Semisimple Module 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order Finite Semisimple Module 2-Categories

Reference 30

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Observation 63b713fe-89ee-4654-9ed1-bec103649c93 · outbound

This paper cites Cat\'egories tensorielles.

The Classification of 3+1d Symmetry Enriched Topological Order Cat\'egories tensorielles

Reference 31

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Observation 51d5f2e2-6a91-472d-94c2-4d6bc91dded2 · outbound

This paper cites Symmetries of Abelian Chern-Simons Theories and Arithmetic.

The Classification of 3+1d Symmetry Enriched Topological Order Symmetries of Abelian Chern-Simons Theories and Arithmetic

Reference 32

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Observation 42f82ea3-6341-4882-97ab-98e3ca70a6bf · outbound

This paper cites On braided fusion categories I.

The Classification of 3+1d Symmetry Enriched Topological Order On braided fusion categories I

Reference 33

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Observation 89dae7ad-712c-4bac-96ec-e7f29a00bcaf · outbound

This paper cites Infrared phases of 2d QCD.

The Classification of 3+1d Symmetry Enriched Topological Order Infrared phases of 2d QCD

Reference 34

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Observation bb9d3ef2-2d75-482e-bf5c-ae12a1519dd6 · outbound

This paper cites The Classification of Fusion 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order The Classification of Fusion 2-Categories

Reference 35

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Observation 60547adb-5739-4d8f-8ec5-ff3ea7c4c6ce · outbound

This paper cites The Witt group of non-degenerate braided fusion categories.

The Classification of 3+1d Symmetry Enriched Topological Order The Witt group of non-degenerate braided fusion categories

Reference 36

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Observation 0e2ab2e5-143c-4cec-8c75-d06bc3076395 · outbound

This paper cites On braided fusion categories I.

The Classification of 3+1d Symmetry Enriched Topological Order On braided fusion categories I

Reference 37

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Observation 95ad34c7-1a88-421f-b3a0-65b093e1d6a6 · outbound

This paper cites On the structure of the Witt group of braided fusion categories.

The Classification of 3+1d Symmetry Enriched Topological Order On the structure of the Witt group of braided fusion categories

Reference 38

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Observation edd421c7-a3fe-4afd-b030-0ab33cbce4fd · outbound

This paper cites Fusion 2-categories and a state-sum invariant for 4-manifolds.

The Classification of 3+1d Symmetry Enriched Topological Order Fusion 2-categories and a state-sum invariant for 4-manifolds

Reference 39

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Observation b2c9541e-1e9e-4c02-8484-6c475868fb47 · outbound

This paper cites Topological Gauge Theories and Group Cohomology.

The Classification of 3+1d Symmetry Enriched Topological Order Topological Gauge Theories and Group Cohomology

Reference 40

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Observation 92183684-ac4e-4be5-8d61-93a53ec5dfc8 · outbound

This paper cites Local Modules in Braided Monoidal 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order Local Modules in Braided Monoidal 2-Categories

Reference 41

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Observation f9a5dcde-c5cb-49c9-87b9-3a805dc59a8e · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Gauging Noninvertible Defects: A 2-Categorical Perspective

Reference 42

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Observation c3c02857-3e43-445a-ba30-8cb7663351b7 · outbound

This paper cites Fiber 2-Functors and Tambara-Yamagami Fusion 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order Fiber 2-Functors and Tambara-Yamagami Fusion 2-Categories

Reference 43

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Observation 5867098f-5a44-48b1-be69-1daaea0c929c · outbound

This paper cites Constructing anomalous 4d TQFT s.

The Classification of 3+1d Symmetry Enriched Topological Order Constructing anomalous 4d TQFT s

Reference 44

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Observation e8df4bea-fdfc-4f38-a142-b6244f88b5ed · outbound

This paper cites Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders.

The Classification of 3+1d Symmetry Enriched Topological Order Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders

Reference 45

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Observation 047e667a-7b66-43a8-89d2-d5b6387a1736 · outbound

This paper cites Towards a classification of mixed-state topological orders in two dimensions.

The Classification of 3+1d Symmetry Enriched Topological Order Towards a classification of mixed-state topological orders in two dimensions

Reference 46

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Observation 67a1e744-b549-4767-91fd-2e55b8245b25 · outbound

This paper cites Tensor categories , volume 205.

The Classification of 3+1d Symmetry Enriched Topological Order Tensor categories , volume 205

Reference 47

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Observation a74d2c8d-0b18-4398-b021-2c1bffdfc3b3 · outbound

This paper cites Fusion categories and homotopy theory.

The Classification of 3+1d Symmetry Enriched Topological Order Fusion categories and homotopy theory

Reference 48

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Observation d157a7a6-6732-4c26-974c-850f537d99ac · outbound

This paper cites Topological symmetry in quantum field theory.

The Classification of 3+1d Symmetry Enriched Topological Order Topological symmetry in quantum field theory

Reference 49

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Observation db849faa-a774-4f0f-8e2a-95841ece9ca4 · outbound

This paper cites Pions and Generalized Cohomology.

The Classification of 3+1d Symmetry Enriched Topological Order Pions and Generalized Cohomology

Reference 50

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Observation 27f6a46d-6a1d-4246-a33e-68f63b7d647c · outbound

This paper cites Relative quantum field theory.

The Classification of 3+1d Symmetry Enriched Topological Order Relative quantum field theory

Reference 51

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Observation 3183d2e9-0a4a-434d-9dae-b18fefd62bc3 · outbound

This paper cites Condensations in higher categories.

The Classification of 3+1d Symmetry Enriched Topological Order Condensations in higher categories

Reference 52

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Observation e5a551f1-8a80-44bb-816a-1fcb36d265ec · outbound

This paper cites Phases Of Adjoint QCD$_3$ And Dualities.

The Classification of 3+1d Symmetry Enriched Topological Order Phases Of Adjoint QCD$_3$ And Dualities

Reference 53

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Observation 0e699ce8-fb5a-4b2d-993e-88dbcfea8617 · outbound

This paper cites Venegas-Ram \'i rez.

The Classification of 3+1d Symmetry Enriched Topological Order Venegas-Ram \'i rez

Reference 54

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Observation c106c431-ea92-49de-b715-6cb282d911c3 · outbound

This paper cites Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory.

The Classification of 3+1d Symmetry Enriched Topological Order Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory

Reference 55

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Observation 56221213-84e5-46ce-a38d-33ec4744d9d5 · outbound

This paper cites Spin Chern-Simons and Spin TQFTs.

The Classification of 3+1d Symmetry Enriched Topological Order Spin Chern-Simons and Spin TQFTs

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:09:46.992964Z

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Observation ff6ef0a2-4bc2-43ce-bf77-67681dcc3b90 · outbound

This paper cites On the classification of topological orders.

The Classification of 3+1d Symmetry Enriched Topological Order On the classification of topological orders

Reference 57

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Observation 7d7f4976-e37b-48ae-a935-50cedab8b9c6 · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order (3+1)D topological orders with only a Z _2 -charged particle

Reference 58

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Reference 59

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Reference 60

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

The Classification of 3+1d Symmetry Enriched Topological Order Fusion 2-categories with no line operators are grouplike

Reference 61

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Observation 869531a4-d798-479e-bf7c-be91a69e2d24 · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Topological Orders in (4+1)-Dimensions

Reference 62

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This paper cites Extension theory for braided-enriched fusion categories.

The Classification of 3+1d Symmetry Enriched Topological Order Extension theory for braided-enriched fusion categories

Reference 63

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Observation bd525775-46f1-4b05-91ea-c284e104ecd8 · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry

Reference 64

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Observation bcc6d68e-6cd1-4788-a8ed-8e85adc30471 · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Classification of topological phases with finite internal symmetries in all dimensions

Reference 65

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Observation 5021736d-a896-4718-8391-0acab33cf751 · outbound

This paper cites Anyon condensation and tensor categories.

The Classification of 3+1d Symmetry Enriched Topological Order Anyon condensation and tensor categories

Reference 66

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Observation ca6e6c84-cc37-4caa-adda-7948088f0f73 · outbound

This paper cites On gapped boundaries for SPT phases beyond group cohomology.

The Classification of 3+1d Symmetry Enriched Topological Order On gapped boundaries for SPT phases beyond group cohomology

Reference 67

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Observation f2a3c514-3489-460a-ac57-c8fcf9f93935 · outbound

This paper cites Symmetry TFTs for Non-Invertible Defects.

The Classification of 3+1d Symmetry Enriched Topological Order Symmetry TFTs for Non-Invertible Defects

Reference 68

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Observation 250dedb7-b07a-4bea-926a-bdfaaef4a308 · outbound

This paper cites (3+1)d mixed state topological orders.

The Classification of 3+1d Symmetry Enriched Topological Order (3+1)d mixed state topological orders

Reference 69

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Observation c36aa672-4994-40ad-9129-b0f2b17b8f52 · outbound

This paper cites A symmetry breaking scenario for QCD _ 3.

The Classification of 3+1d Symmetry Enriched Topological Order A symmetry breaking scenario for QCD _ 3

Reference 70

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Observation 1a138b79-df08-475b-8a76-ec0dc71825d7 · outbound

This paper cites The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten Theory.

The Classification of 3+1d Symmetry Enriched Topological Order The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten Theory

Reference 71

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Observation 631eb777-f6b6-4767-8fbf-95250a4e3328 · outbound

This paper cites Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions.

The Classification of 3+1d Symmetry Enriched Topological Order Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions

Reference 72

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Observation 00ee67a0-691f-47e1-b431-7bc2df5c50ec · outbound

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

The Classification of 3+1d Symmetry Enriched Topological Order Boundary-bulk relation for topological orders as the functor mapping higher categories to their centers

Reference 73

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Observation e776b12b-0e07-445c-ae90-2dfb4d1ef3d1 · outbound

This paper cites Boundary-bulk relation in topological orders.

The Classification of 3+1d Symmetry Enriched Topological Order Boundary-bulk relation in topological orders

Reference 74

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Observation 7fcaf534-adb6-4bbb-9e14-48342bdabefc · outbound

This paper cites One dimensional gapped quantum phases and enriched fusion categories.

The Classification of 3+1d Symmetry Enriched Topological Order One dimensional gapped quantum phases and enriched fusion categories

Reference 75

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Observation fde1fcd3-70f0-40ab-af0a-e44e2e5da6ca · outbound

This paper cites A mathematical theory of gapless edges of 2d topological orders. Part I.

The Classification of 3+1d Symmetry Enriched Topological Order A mathematical theory of gapless edges of 2d topological orders. Part I

Reference 76

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This paper cites A mathematical theory of gapless edges of 2d topological orders. Part II.

The Classification of 3+1d Symmetry Enriched Topological Order A mathematical theory of gapless edges of 2d topological orders. Part II

Reference 77

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Observation 39bcc0c8-744a-4088-ab9e-4aa551200f41 · outbound

This paper cites Higher condensation theory.

The Classification of 3+1d Symmetry Enriched Topological Order Higher condensation theory

Reference 78

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This paper cites A classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons.

The Classification of 3+1d Symmetry Enriched Topological Order A classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons

Reference 79

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This paper cites A classification of 3+1D bosonic topological orders (II): the case when some point-like excitations are fermions.

The Classification of 3+1d Symmetry Enriched Topological Order A classification of 3+1D bosonic topological orders (II): the case when some point-like excitations are fermions

Reference 80

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This paper cites Classification of fractional quantum Hall states with spatial symmetries.

The Classification of 3+1d Symmetry Enriched Topological Order Classification of fractional quantum Hall states with spatial symmetries

Reference 81

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Observation 86030a93-6eb2-4d39-9a40-739104195b79 · outbound

This paper cites The Classification of Two-Dimensional Extended Topological Field Theories.

The Classification of 3+1d Symmetry Enriched Topological Order The Classification of Two-Dimensional Extended Topological Field Theories

Reference 82

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Observation 576c82a0-c58e-4193-b3ba-5b45c4a06494 · outbound

This paper cites A Noisy Approach to Intrinsically Mixed-State Topological Order.

The Classification of 3+1d Symmetry Enriched Topological Order A Noisy Approach to Intrinsically Mixed-State Topological Order

Reference 83

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This paper cites Gapped Boundary Phases of Topological Insulators via Weak Coupling.

The Classification of 3+1d Symmetry Enriched Topological Order Gapped Boundary Phases of Topological Insulators via Weak Coupling

Reference 84

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This paper cites A Generalized Crystalline Equivalence Principle.

The Classification of 3+1d Symmetry Enriched Topological Order A Generalized Crystalline Equivalence Principle

Reference 85

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Observation e17f20e4-d36b-457e-b943-93f74e460513 · outbound

This paper cites On gauging finite subgroups.

The Classification of 3+1d Symmetry Enriched Topological Order On gauging finite subgroups

Reference 86

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This paper cites TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D.

The Classification of 3+1d Symmetry Enriched Topological Order TQFT, Symmetry Breaking, and Finite Gauge Theory in 3+1D

Reference 87

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Observation b056fa06-d64c-4620-8a4b-5d4c67c0433d · outbound

This paper cites Homotopy field theory in dimension 3 and crossed group-categories.

The Classification of 3+1d Symmetry Enriched Topological Order Homotopy field theory in dimension 3 and crossed group-categories

Reference 88

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Observation 5193b48b-9d3e-42d0-88dd-f5ff4b6c0a71 · outbound

This paper cites Mutual Influence of Symmetries and Topological Field Theories.

The Classification of 3+1d Symmetry Enriched Topological Order Mutual Influence of Symmetries and Topological Field Theories

Reference 89

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Observation 61dd9936-acf1-421b-a3dc-f83f32cc7212 · outbound

This paper cites Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders.

The Classification of 3+1d Symmetry Enriched Topological Order Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders

Reference 90

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Observation e0712231-1f7a-47d9-b8ff-e2a932673ae6 · outbound

This paper cites String condensation and topological holography for 2+1D gapless SPT.

The Classification of 3+1d Symmetry Enriched Topological Order String condensation and topological holography for 2+1D gapless SPT

Reference 91

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This paper cites Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries.

The Classification of 3+1d Symmetry Enriched Topological Order Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries

Reference 92

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Observation 6a46f030-5a91-4a72-8603-21e8eab4c02f · outbound

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The Classification of 3+1d Symmetry Enriched Topological Order Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory

Reference 93

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Observation 985b00cd-a7e4-4447-9bb4-75a953f1b5f6 · outbound

This paper cites The "Parity" Anomaly On An Unorientable Manifold.

The Classification of 3+1d Symmetry Enriched Topological Order The "Parity" Anomaly On An Unorientable Manifold

Reference 94

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Observation 7e7dfc2f-faf9-401b-b4cc-2b5e3a8f8fe3 · outbound

This paper cites Classification of 1+1D gapless symmetry protected phases via topological holography.

The Classification of 3+1d Symmetry Enriched Topological Order Classification of 1+1D gapless symmetry protected phases via topological holography

Reference 95

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Observation f345832c-be59-4a05-8b55-bb73bd1367bc · outbound

This paper cites Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions.

The Classification of 3+1d Symmetry Enriched Topological Order Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions

Reference 96

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Observation d3a831f3-0271-4cb3-ae6c-a4c2cd0d1bc2 · outbound

This paper cites Intrinsic Mixed-state Topological Order.

The Classification of 3+1d Symmetry Enriched Topological Order Intrinsic Mixed-state Topological Order

Reference 97

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Observation 1304b0f2-f012-406c-997b-8e7e4addb120 · outbound

This paper cites Higher Witt Groups for 2-Categories I: Centralizers.

The Classification of 3+1d Symmetry Enriched Topological Order Higher Witt Groups for 2-Categories I: Centralizers

Reference 98

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This paper cites On \'Etale Algebras and Bosonic Fusion 2-Categories.

The Classification of 3+1d Symmetry Enriched Topological Order On \'Etale Algebras and Bosonic Fusion 2-Categories

Reference 99

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The Classification of 3+1d Symmetry Enriched Topological Order Gapped boundary of (4+1)d beyond-cohomology bosonic SPT phase

Reference 100

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The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise The Classification of 3+1d Symmetry Enriched Topological Order

Reference 15

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Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension The Classification of 3+1d Symmetry Enriched Topological Order

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Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension The Classification of 3+1d Symmetry Enriched Topological Order

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Sixteen-Fold Way for Fermionic Topological Orders The Classification of 3+1d Symmetry Enriched Topological Order

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