Paper Citation Record · LEDGER

Kramers-Wannier duality from conformal defects

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 52 inbound Pith citation observations for arXiv:cond-mat/0404051.

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cond-mat/0404051 v2

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measured 52 of 52 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:35.983583Z

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Source: pith, observed 2026-07-10T18:07:31.486730Z

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Pith citing papers

Observation d2663f95-524a-4904-abc3-23a80bc15e88 · inbound

Two-dimensional Anomaly, Orbifolding, and Boundary States cites this paper.

Two-dimensional Anomaly, Orbifolding, and Boundary States Kramers-Wannier duality from conformal defects

Reference 26

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Observation ebc26797-c190-416d-8ef3-b237bfa72546 · inbound

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

Non-Invertible Duality Defects in 3+1 Dimensions Kramers-Wannier duality from conformal defects

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-24T08:56:32.139063Z

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Observation 64a2a440-7c73-446a-bffe-a76bb8b2d9a9 · inbound

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

Higher Gauging and Non-invertible Condensation Defects Kramers-Wannier duality from conformal defects

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-05-24T09:58:23.039603Z

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Observation aae92dd1-7abd-4a73-ae19-bd8570d5f2a6 · inbound

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

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond Kramers-Wannier duality from conformal defects

Reference 88

Resolution: verified exact; local_arxiv, observed 2026-05-21T13:21:27.602579Z

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Observation 69da1810-a16e-452d-9dfe-23d76a20f2d7 · inbound

Topological symmetry in quantum field theory cites this paper.

Topological symmetry in quantum field theory Kramers-Wannier duality from conformal defects

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-05-24T07:40:42.560098Z

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Observation 93f7be74-049f-4472-9e1a-656855b42ce6 · inbound

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

ICTP Lectures on (Non-)Invertible Generalized Symmetries Kramers-Wannier duality from conformal defects

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-05-16T07:50:05.088121Z

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Observation b5e9b568-89d9-4cc6-b00e-91040b60188b · inbound

Lectures on Generalized Symmetries cites this paper.

Lectures on Generalized Symmetries Kramers-Wannier duality from conformal defects

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-05-17T14:14:51.472854Z

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Observation 7430a6fa-1152-443b-be8e-e2afad6afb55 · inbound

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

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Kramers-Wannier duality from conformal defects

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-05-24T07:34:09.102339Z

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Observation 65f6fd93-8c57-460e-87b0-c0a14bcda91a · inbound

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

Non-Invertible Anyon Condensation and Level-Rank Dualities Kramers-Wannier duality from conformal defects

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-05-24T05:43:56.901427Z

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Observation 93da1d74-2327-4f84-a033-87e3a95aa5c8 · inbound

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

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Kramers-Wannier duality from conformal defects

Reference 71

Resolution: verified exact; local_arxiv, observed 2026-05-23T22:03:30.054047Z

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Observation ea77bea6-0073-4640-9f96-729d8835e633 · inbound

Non-Invertible Symmetries in 6d from Green-Schwarz Automorphisms cites this paper.

Non-Invertible Symmetries in 6d from Green-Schwarz Automorphisms Kramers-Wannier duality from conformal defects

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T20:30:17.548179Z

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Observation 2738f884-a018-4e51-acc8-48a39fbd2bbd · inbound

SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions cites this paper.

SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions Kramers-Wannier duality from conformal defects

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T11:41:19.385007Z

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Observation 057bd6be-d668-4db6-b5a2-f7cd157eee45 · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Kramers-Wannier duality from conformal defects

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.737249Z

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Observation ad32a9a5-1312-4c91-9f7c-b75b5fa63f7c · inbound

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes cites this paper.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Kramers-Wannier duality from conformal defects

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.225652Z

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

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories cites this paper.

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

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Observation 1785b84b-33a5-4fb4-a9be-66ccd14d1473 · inbound

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant cites this paper.

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant Kramers-Wannier duality from conformal defects

Reference 239

Resolution: unresolved; no resolver link, observed 2026-08-11T00:19:12.638146Z

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Observation 38a9a2c7-a200-469d-86b6-e5046da0d3ac · inbound

Vertex algebras, topological defects, and Moonshine cites this paper.

Vertex algebras, topological defects, and Moonshine Kramers-Wannier duality from conformal defects

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.006150Z

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Observation a73aa6d1-a016-4feb-9e14-fe436cd7c12e · inbound

Minimal Models RG flows: non-invertible symmetries & non-perturbative description cites this paper.

Minimal Models RG flows: non-invertible symmetries & non-perturbative description Kramers-Wannier duality from conformal defects

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T20:45:38.122076Z

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Observation 1e6ae22b-a751-4543-9f83-b1712b687731 · inbound

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d cites this paper.

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Kramers-Wannier duality from conformal defects

Reference 21

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Observation 90f22cf9-ec2c-4c02-bd17-03043006075e · inbound

On local fields invariant under the action of topological defects cites this paper.

On local fields invariant under the action of topological defects Kramers-Wannier duality from conformal defects

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.611916Z

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Observation a5112494-1e7e-4b46-896c-479ef6839c9c · inbound

Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries cites this paper.

Defect Conformal Manifolds from Phantom (Non-Invertible) Symmetries Kramers-Wannier duality from conformal defects

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-15T21:39:36.623655Z

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Observation dbae4055-f58a-41f0-b7aa-f23e9d7f3144 · inbound

Discrete quantum systems from topological field theory cites this paper.

Discrete quantum systems from topological field theory Kramers-Wannier duality from conformal defects

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:37:40.937274Z

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Observation 71ca8de9-3cf7-4c58-8b4f-37a13ac50ac9 · inbound

ADE triality via (non-)invertible symmetry gauging cites this paper.

ADE triality via (non-)invertible symmetry gauging Kramers-Wannier duality from conformal defects

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T19:47:17.648240Z

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Observation 97e466f5-316b-46b2-afeb-1faab7fd7c71 · inbound

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders cites this paper.

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders Kramers-Wannier duality from conformal defects

Reference 261

Resolution: verified exact; local_arxiv, observed 2026-05-19T08:07:11.429482Z

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Observation 9b7daf21-5a28-4002-a204-6dad52057ef2 · inbound

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra cites this paper.

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra Kramers-Wannier duality from conformal defects

Reference 110

Resolution: unresolved; no resolver link, observed 2026-08-06T15:07:42.655413Z

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Observation 10b818a8-4b8e-407c-8b93-144fceb13021 · inbound

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings cites this paper.

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings Kramers-Wannier duality from conformal defects

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-21T23:54:27.879517Z

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Observation c2251356-7496-4347-84c8-7194823afe67 · inbound

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability cites this paper.

Systematic Construction of Kramers-Wannier-like Dualities in Quantum Lattice Models from Integrability Kramers-Wannier duality from conformal defects

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T12:17:14.803181Z

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Observation d5998af6-a158-4b1b-b6d4-7a3b72f67a09 · inbound

Disjoint additivity and local quantum physics cites this paper.

Disjoint additivity and local quantum physics Kramers-Wannier duality from conformal defects

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-05T10:57:40.808356Z

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Observation 01b29c00-d48b-4e4e-841a-a496bd8f5658 · inbound

Conformal Bootstrap with Duality-Inspired Fusion Rule cites this paper.

Conformal Bootstrap with Duality-Inspired Fusion Rule Kramers-Wannier duality from conformal defects

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-21T19:50:33.996749Z

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Observation 9cd0c599-315a-4e34-98e8-12451272d83d · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks Kramers-Wannier duality from conformal defects

Reference 169

Resolution: unresolved; no resolver link, observed 2026-08-03T13:35:49.444092Z

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Observation d1640582-5406-4c73-a8c8-b702c605cb3e · inbound

Defects in N=1 minimal models and RG flows cites this paper.

Defects in N=1 minimal models and RG flows Kramers-Wannier duality from conformal defects

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-16T16:58:07.118246Z

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Observation 32cd3619-c4bf-4c78-a5a3-62c7b5f708e8 · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Kramers-Wannier duality from conformal defects

Reference 113

Resolution: verified exact; local_arxiv, observed 2026-05-16T05:10:40.682907Z

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Observation 20b460b9-20e8-4667-b22b-4b607c9d34f8 · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Kramers-Wannier duality from conformal defects

Reference 113

Resolution: unresolved; no resolver link, observed 2026-08-03T03:21:15.116946Z

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Observation 0f4e3fbe-9fbc-410e-9fea-8d8844e11be4 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Kramers-Wannier duality from conformal defects

Reference 87

Resolution: verified exact; local_arxiv, observed 2026-05-16T03:27:13.358478Z

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Observation d1610b4d-5c30-4509-97f8-da8711e219a6 · inbound

Classification of 2D Fermionic Systems with a $\mathbb Z_2$ Flavor Symmetry cites this paper.

Classification of 2D Fermionic Systems with a $\mathbb Z_2$ Flavor Symmetry Kramers-Wannier duality from conformal defects

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:50:59.280597Z

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Observation 19c222dd-78c9-47a4-8756-0d1304a16c3b · inbound

Generalized Complexity Distances and Non-Invertible Symmetries cites this paper.

Generalized Complexity Distances and Non-Invertible Symmetries Kramers-Wannier duality from conformal defects

Reference 76

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:41:06.219351Z

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Observation 9512fe00-e788-42b3-85e2-0816d23fa22e · inbound

Symmetry breaking phases and transitions in an Ising fusion category lattice model cites this paper.

Symmetry breaking phases and transitions in an Ising fusion category lattice model Kramers-Wannier duality from conformal defects

Reference 55

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:06:03.145538Z

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Observation ce2e4ab5-f2ec-4b55-8b2e-8cf8ce803de8 · inbound

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions cites this paper.

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions Kramers-Wannier duality from conformal defects

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-05-15T02:48:33.520455Z

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Observation 4d7141c7-e9d4-4383-a157-0cf041a5fbd3 · inbound

Non-Invertible Symmetries in Compactified Supergravities cites this paper.

Non-Invertible Symmetries in Compactified Supergravities Kramers-Wannier duality from conformal defects

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-05-20T17:03:36.705187Z

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Observation 7b2bbe65-fcd4-413b-8a45-b77e3e26bc02 · inbound

Defect Conformal Manifolds along RG Domain Walls between $\mathbb Z_N$-Parafermions and Minimal Models cites this paper.

Defect Conformal Manifolds along RG Domain Walls between $\mathbb Z_N$-Parafermions and Minimal Models Kramers-Wannier duality from conformal defects

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-30T00:14:04.192892Z

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Observation 599cd78f-dfb6-4ded-b7ee-205138207668 · inbound

Algebras of order parameters in one-dimensional spin systems cites this paper.

Algebras of order parameters in one-dimensional spin systems Kramers-Wannier duality from conformal defects

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-07-01T16:25:49.049641Z

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Observation d53f9de5-f167-4bf9-823e-62bf3761c3b8 · inbound

Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models cites this paper.

Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models Kramers-Wannier duality from conformal defects

Reference 24

Resolution: malformed identifier; local_arxiv, observed 2026-06-29T15:03:31.912737Z

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Observation 55c231ee-10c2-4daa-85ce-925e94ea2236 · inbound

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras cites this paper.

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras Kramers-Wannier duality from conformal defects

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-02T10:16:52.059998Z

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Observation 00de4c9c-75c7-4169-a873-892684f83d03 · inbound

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

$E_\infty^{1,2}$-type Lieb-Schultz-Mattis anomalies, deconfined quantum critical points, and non-invertible symmetry breaking Kramers-Wannier duality from conformal defects

Reference 79

Resolution: verified exact; local_arxiv, observed 2026-07-02T15:47:06.565794Z

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Observation 12017d47-ebc3-42a5-bd0e-27e0f6f8f42d · inbound

Defects in skein theory and TQFT cites this paper.

Defects in skein theory and TQFT Kramers-Wannier duality from conformal defects

Reference 21

Resolution: metadata mismatch; local_arxiv, observed 2026-06-27T20:11:12.813117Z

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Observation 4fcf0765-d8fe-4859-b2c1-e75dad55b8d5 · inbound

Hidden Conformal Boundary Data in Finite-Temperature Stabilizer Entropy cites this paper.

Hidden Conformal Boundary Data in Finite-Temperature Stabilizer Entropy Kramers-Wannier duality from conformal defects

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-06-27T18:41:07.854298Z

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Observation cf28e4d7-2d06-40dc-9e77-b5498e7a2ec8 · inbound

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries cites this paper.

Operational Tube-Sector Theory of Quantum State Distinguishability Under Generalized Symmetries Kramers-Wannier duality from conformal defects

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-07-04T04:39:35.255894Z

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Observation 352980c1-a8f6-4f5a-9d65-a63015575073 · inbound

Exactly solvable non-unitary conformal interfaces in unitary CFTs cites this paper.

Exactly solvable non-unitary conformal interfaces in unitary CFTs Kramers-Wannier duality from conformal defects

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-01T12:05:43.759123Z

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Observation 3a4a20ee-1127-4a0c-9175-917aeea34354 · inbound

Physical reduced states and continuum characters of the lattice Kramers-Wannier defect cites this paper.

Physical reduced states and continuum characters of the lattice Kramers-Wannier defect Kramers-Wannier duality from conformal defects

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-02T11:46:54.711130Z

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Observation 3b5f485f-9adb-4b59-9e13-51ff80dbb354 · inbound

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging cites this paper.

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging Kramers-Wannier duality from conformal defects

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-10T18:07:31.487981Z

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Observation e44cc9c9-be05-4626-a384-19d041a2e870 · inbound

Symmetry extension by condensation defects II: general dimensions and higher-groups cites this paper.

Symmetry extension by condensation defects II: general dimensions and higher-groups Kramers-Wannier duality from conformal defects

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:32:09.448434Z

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Observation d8585d2d-5dbb-4b33-8770-4813501820ee · inbound

Entanglement in Presence of Topological Interfaces and Dualities cites this paper.

Entanglement in Presence of Topological Interfaces and Dualities Kramers-Wannier duality from conformal defects

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