Paper Citation Record · LEDGER

Duality and defects in rational conformal field theory

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 41 inbound Pith citation observations for arXiv:hep-th/0607247.

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hep-th/0607247 v2

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measured 41 of 41 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 41 of 41 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:35.988471Z

measured 1 of 1 external citation measurements

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Source: pith, observed 2026-08-05T02:28:24.338817Z

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pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

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Pith citing papers

Observation 1bbd4381-241f-4f86-ac62-60f1407401ea · inbound

Generalized Global Symmetries cites this paper.

Generalized Global Symmetries Duality and defects in rational conformal field theory

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-12T07:58:27.599114Z

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Observation 9672be92-4eac-43d0-9cd9-b7f2d47705c1 · inbound

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

Two-dimensional Anomaly, Orbifolding, and Boundary States Duality and defects in rational conformal field theory

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T14:36:49.080499Z

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Observation 25e5b743-91d7-4b9e-9944-2bb2010be557 · inbound

Topological Transition on the Conformal Manifold cites this paper.

Topological Transition on the Conformal Manifold Duality and defects in rational conformal field theory

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-14T05:23:55.656316Z

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Observation 8eba5c03-2f74-41cf-8b8d-7292a6b940d9 · inbound

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

Non-Invertible Duality Defects in 3+1 Dimensions Duality and defects in rational conformal field theory

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-24T08:56:32.145692Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 229a6f8f-9454-4492-bd74-96f5134dc2ef · inbound

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

Higher Gauging and Non-invertible Condensation Defects Duality and defects in rational conformal field theory

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-05-24T09:58:23.044778Z

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Observation 4238bf3f-8e5a-4e46-a9b9-1280da9ad752 · 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 Duality and defects in rational conformal field theory

Reference 89

Resolution: verified exact; local_arxiv, observed 2026-05-21T13:21:27.605718Z

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Observation 14b62dd8-9226-4c13-bcc2-66b8163c6b6a · inbound

Lectures on Generalized Symmetries cites this paper.

Lectures on Generalized Symmetries Duality and defects in rational conformal field theory

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-05-17T14:14:51.507882Z

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Observation 1170ab80-b824-44db-b7a3-161f7b52f51c · 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 Duality and defects in rational conformal field theory

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-05-24T07:34:08.616074Z

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Observation 484cf75e-6324-4877-b273-5502179baed2 · inbound

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

Non-Invertible Anyon Condensation and Level-Rank Dualities Duality and defects in rational conformal field theory

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-05-24T05:43:56.960266Z

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Observation f337cfa9-da60-4d25-96c6-5f0c20a10367 · inbound

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

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Duality and defects in rational conformal field theory

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-05-23T22:03:30.211452Z

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Observation 26403f7a-7f3f-4d26-bc68-b8c734909cb9 · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Duality and defects in rational conformal field theory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:19.742046Z

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Observation 10d451f1-e0ee-4dc5-b9b9-269e2052f24b · 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 Duality and defects in rational conformal field theory

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.201695Z

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Observation 94cff3d0-f4ad-4066-b40e-43e7b7cd7c1b · 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 Duality and defects in rational conformal field theory

Reference 78

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

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Unavailable: canonical work link unavailable.

Observation 008908a3-dac3-4990-b51f-faadfe027227 · 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 Duality and defects in rational conformal field theory

Reference 242

Resolution: unresolved; no resolver link, observed 2026-08-11T00:19:12.642800Z

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Observation 6adb3d60-1f81-4272-a821-972c47e000e2 · inbound

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

Vertex algebras, topological defects, and Moonshine Duality and defects in rational conformal field theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:47.009998Z

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Observation d8c0a48f-0f43-4e4a-b79e-ed3149aac5e5 · inbound

Particle-Soliton Degeneracy in 2D Quantum Chromodynamics cites this paper.

Particle-Soliton Degeneracy in 2D Quantum Chromodynamics Duality and defects in rational conformal field theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T23:09:53.543230Z

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Unavailable: canonical work link unavailable.

Observation 9f58d560-9fb9-458c-921d-942eeca68c65 · inbound

The tricritical Ising CFT and conformal bootstrap cites this paper.

The tricritical Ising CFT and conformal bootstrap Duality and defects in rational conformal field theory

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-09T22:54:53.640853Z

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Observation 5444c79c-8939-44a0-bc6c-84176894a0ce · 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 Duality and defects in rational conformal field theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T04:42:35.988471Z

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Observation 8679d885-ddf9-4e7d-970d-e90ca75dc6c6 · inbound

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

On local fields invariant under the action of topological defects Duality and defects in rational conformal field theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.603111Z

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Unavailable: canonical work link unavailable.

Observation c750f5ae-e3f1-4af0-acb4-083ed83ea117 · inbound

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models cites this paper.

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models Duality and defects in rational conformal field theory

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:26.114754Z

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Unavailable: canonical work link unavailable.

Observation a3ec620f-39bf-4b5d-be84-fd57d438f147 · inbound

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

ADE triality via (non-)invertible symmetry gauging Duality and defects in rational conformal field theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T19:47:17.653465Z

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Unavailable: canonical work link unavailable.

Observation 0192828a-3d0d-4f4c-ba0d-2295933a5a9a · 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 Duality and defects in rational conformal field theory

Reference 262

Resolution: verified exact; local_arxiv, observed 2026-05-19T08:07:11.350511Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 29705c99-3571-4fdd-95fd-850c10935c21 · inbound

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders cites this paper.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Duality and defects in rational conformal field theory

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:15.686104Z

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Unavailable: canonical work link unavailable.

Observation c03677b7-ef22-4d07-8c78-e24a152fbc27 · 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 Duality and defects in rational conformal field theory

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-05-21T23:54:28.200199Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c40259de-5dfd-4072-bbe7-5d346bdee537 · inbound

Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies cites this paper.

Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies Duality and defects in rational conformal field theory

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-18T04:55:54.213598Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7c372d80-28ad-48c6-8112-0d8f5a9285c5 · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks Duality and defects in rational conformal field theory

Reference 170

Resolution: unresolved; no resolver link, observed 2026-08-03T13:35:49.448762Z

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Unavailable: canonical work link unavailable.

Observation 5d7c4240-ecd8-4a66-ade1-7c6c2dde72b5 · 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 Duality and defects in rational conformal field theory

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:50:59.250674Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f87ce51e-9efd-47f8-9015-fc3eae1df72a · inbound

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

Generalized Complexity Distances and Non-Invertible Symmetries Duality and defects in rational conformal field theory

Reference 77

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:41:05.579835Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bfdc0852-d7c2-4700-a558-db7bacdcca0a · inbound

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

Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions Duality and defects in rational conformal field theory

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-05-15T02:48:33.542237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 766f4663-bbbc-48f9-a118-8469018f8988 · inbound

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Duality and defects in rational conformal field theory

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-05-15T02:53:33.771125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1444a763-88af-482b-b606-f79f82ccdafc · inbound

Fusion of Integrable Defects and the Defect $g$-Function cites this paper.

Fusion of Integrable Defects and the Defect $g$-Function Duality and defects in rational conformal field theory

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-21T04:33:58.240277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 14441c52-e39e-4a26-ad63-a733c792d316 · inbound

A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms cites this paper.

A new Ising/tricritical-Ising interface: From ${W}_3$ symmetry to Rydberg atoms Duality and defects in rational conformal field theory

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-05-25T03:50:19.751944Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4bb974aa-1d29-42b5-b96d-d0a216a8459d · inbound

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

Algebras of order parameters in one-dimensional spin systems Duality and defects in rational conformal field theory

Reference 45

Resolution: verified exact; local_arxiv, observed 2026-07-01T16:25:49.073192Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f75a817f-03fa-4eaf-ac1f-c34a125a1c13 · 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 Duality and defects in rational conformal field theory

Reference 26

Resolution: metadata mismatch; local_arxiv, observed 2026-06-29T06:13:09.397777Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e17a1aac-66af-4855-a038-84c1af2cc268 · inbound

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

Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras Duality and defects in rational conformal field theory

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-02T10:16:51.929426Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 79d16edd-54a9-4ea2-a1b0-777953ef709c · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Duality and defects in rational conformal field theory

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-04T20:40:08.434989Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 45581e17-0bb5-4e71-b379-cc4585cdbd4c · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Duality and defects in rational conformal field theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T10:15:03.169962Z

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Unavailable: canonical work link unavailable.

Observation c2bf6c98-bc77-4175-8924-c36838a67449 · 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 Duality and defects in rational conformal field theory

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-10T18:07:31.553018Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b394271f-cd71-47dc-b6f4-a0de4f489af0 · inbound

Exact Lindbladian Dynamics from Conformal Embeddings and Topological Defects in Conformal Field Theory cites this paper.

Exact Lindbladian Dynamics from Conformal Embeddings and Topological Defects in Conformal Field Theory Duality and defects in rational conformal field theory

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-13T06:26:06.022624Z

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Observation ce87cd8a-ff7e-4dc0-823b-5aad3e09b324 · 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 Duality and defects in rational conformal field theory

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:32:09.568940Z

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Observation 13414362-99aa-41a4-aaa9-743dd6574f22 · inbound

$\mathcal{N}=2$ RG flows, Non-Invertible Symmetries and Matrix Factorisations cites this paper.

$\mathcal{N}=2$ RG flows, Non-Invertible Symmetries and Matrix Factorisations Duality and defects in rational conformal field theory

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T15:13:39.478892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.