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Paper Citation Record · LEDGER

Kramers-Wannier duality from conformal defects

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 48 inbound Pith citation observations for arXiv:cond-mat/0404051.

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pith.paper-citation-record.v1
cond-mat/0404051 v2

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measured 48 of 48 standing notices

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

measured 48 of 48 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:36:48.995257Z

measured 0 of 1 external citation measurements

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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source=arxiv_source observed=2026-08-07T10:37:40.937274Z digest=sha256:bc975bbb2c13973d7039f89884141e24a31ff2941632e141bef97621c289b5bd

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

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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

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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

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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

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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

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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

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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

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source=arxiv_source observed=2026-08-03T13:35:49.444092Z digest=sha256:3c89cb754c1e96ad06c092b1af7f1180ccdf7b3620a26486449ae5e9194991a8

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

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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

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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

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source=pdf_text observed=2026-08-03T03:21:15.116946Z digest=sha256:ec57a8fbb9169953ee7de5076ef0ddc2c93bad044b6b73f33a16e122c27b6ff7

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

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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

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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

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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

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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

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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

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local_arxiv, observed 2026-05-20T17:03:36.705187Z

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source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:bd06b7082eda7111ff35bbef51231a24fdc32065f029e0bc3de04c5949ee3b99

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-30T00:10:46.586197Z digest=sha256:7c667676fd9206cc39f83f4e90faae235bc8ee613ce39acd6d134883ad85c59c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:c52403a86688dfbcc3c1f929d0e4ed080e3c4ebb0db08faf29a05de3008a3aa4

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-29T06:05:27.711510Z digest=sha256:69dcfd69e361c5d18a70448a8e844cac4f08090471f39265ff9ec58641debdf6

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-28T05:12:12.178791Z digest=sha256:362c843fe5d8b002336848d20c40cc652bbdae17b6115770a9333cf3d5a7481f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T23:27:15.876739Z digest=sha256:376a0ad281d30a864abed56cc8019b4760c32408752fa77d430e4ebd20486e60

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:1addae3b67ad385f648d6b50a42f7d566e519e93b1920b9c837b4fd382c7a179

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:2e010035dc92bb6abf59c840eafe101db1fe727291c6b0e534b54c79f1dcc62d

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-26T16:48:52.832128Z digest=sha256:d2600ea14ca6ce316184dfc9ac9b19755c559a33b2832bbbb7f07c1c4ec3e76e

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-01T02:28:49.735690Z digest=sha256:3e1eeab0d7b860ebbf9cb865360cc571e3ddca770769bd49a8fc9495a40aa72c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-02T11:45:37.017045Z digest=sha256:d923d84a0afc610979e5e3bad68626cc0f803f81a54d2f51d0c87749afabb1db

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T18:07:24.355218Z digest=sha256:b9affb9f5d7e103c814cbc69c20eec439932db82ff1c899a3f590207ef570e88

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:32:09.448434Z digest=sha256:d85399a628501d789555da5d7e4217d8cc2da406fdd717cac930f9a6d54d9167

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

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T04:48:22.880869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T04:48:22.880869Z digest=sha256:a5f90d9d67920feee737f9c00d75de11b1f7ccd2fbfb69e91c0d48ddaa912c6c