Paper Citation Record · LEDGER

Rational and non-rational two-dimensional conformal field theories arising from lattices

As of 10 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2506.01008.

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

pith.paper-citation-record.v1
2506.01008 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:06:02.897017Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T01:00:10.413057Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T13:15:45.204155Z

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation 6489bdc0-d43e-4b47-949c-b6c93c615fc9 · outbound

This paper cites Wightman fields for two-dimensional conformal field theories with pointed representation category.

Rational and non-rational two-dimensional conformal field theories arising from lattices Wightman fields for two-dimensional conformal field theories with pointed representation category

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:08.397163Z

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Observation eb8a95cc-10a8-4799-9f77-1b635db6cc63 · outbound

This paper cites Representations of conformal nets associated with infinite-dimensional groups.

Rational and non-rational two-dimensional conformal field theories arising from lattices Representations of conformal nets associated with infinite-dimensional groups

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:06:09.788114Z

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Observation eb4d9afc-e0cb-4839-af4c-c50205223c6a · outbound

This paper cites Osterwalder-Schrader axioms for unitary full vertex operator algebras.

Rational and non-rational two-dimensional conformal field theories arising from lattices Osterwalder-Schrader axioms for unitary full vertex operator algebras

Reference 3

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Observation bb14a3ed-7c2b-442b-81b7-cdfa88cce2c7 · outbound

This paper cites Reflection positivity and Hankel operators -- the multiplicity free case.

Rational and non-rational two-dimensional conformal field theories arising from lattices Reflection positivity and Hankel operators -- the multiplicity free case

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:08.187674Z

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Observation 30f651d7-9bbe-49b7-b06f-4c50ff354ded · outbound

This paper cites Reflection positivity and its relation to disc, half plane and the strip.

Rational and non-rational two-dimensional conformal field theories arising from lattices Reflection positivity and its relation to disc, half plane and the strip

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:08.016369Z

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Observation 5a9f187e-0bd4-456a-9efc-11e30e9a22c7 · outbound

This paper cites Mathematical theory of quantum fields , volume 101 of International Series of Monographs on Physics.

Rational and non-rational two-dimensional conformal field theories arising from lattices Mathematical theory of quantum fields , volume 101 of International Series of Monographs on Physics

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T12:05:59.122393Z

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Observation 22a084f2-0638-495f-b0b5-494b9a70753d · outbound

This paper cites Operator algebraic methods in quantum field theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices Operator algebraic methods in quantum field theory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:06:09.590302Z

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Observation b708288a-1426-4d20-9c70-d6789539ebc1 · outbound

This paper cites Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case.

Rational and non-rational two-dimensional conformal field theories arising from lattices Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:07.797516Z

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Observation 60c184af-fe4a-4768-b46c-e69462211e94 · outbound

This paper cites Scaling limits of integrable quantum field theories.

Rational and non-rational two-dimensional conformal field theories arising from lattices Scaling limits of integrable quantum field theories

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:07.613372Z

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Observation ab9fa270-d10c-4ce3-aa6a-a5a93561649a · outbound

This paper cites The current algebra on the circle as a germ of local field theories.

Rational and non-rational two-dimensional conformal field theories arising from lattices The current algebra on the circle as a germ of local field theories

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-07T12:06:07.365071Z

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Observation eea737b7-c58a-45c8-8916-9a48cac05063 · outbound

This paper cites H aag duality in conformal quantum field theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices H aag duality in conformal quantum field theory

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-07T12:06:07.132237Z

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Observation 39fce5a7-6380-40ab-8eef-bb46a7b3041c · outbound

This paper cites On the representation theory of Virasoro Nets.

Rational and non-rational two-dimensional conformal field theories arising from lattices On the representation theory of Virasoro Nets

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:06.915328Z

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Observation b7528529-debc-416e-9da6-407f25dba1f2 · outbound

This paper cites From vertex operator algebras to conformal nets and back.

Rational and non-rational two-dimensional conformal field theories arising from lattices From vertex operator algebras to conformal nets and back

Reference 13

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Observation bb5d3b36-858d-4f9d-8f93-bd66c8fc4a0b · outbound

This paper cites Thermal States in Conformal QFT. I.

Rational and non-rational two-dimensional conformal field theories arising from lattices Thermal States in Conformal QFT. I

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:06.738096Z

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Observation a5b7a71e-1793-4d28-9848-fe020702f776 · outbound

This paper cites Local energy bounds and representations of conformal nets.

Rational and non-rational two-dimensional conformal field theories arising from lattices Local energy bounds and representations of conformal nets

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:06:09.372445Z

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Observation 071de553-8f4a-4794-b229-305fa84116f0 · outbound

This paper cites On the uniqueness of diffeomorphism symmetry in Conformal Field Theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices On the uniqueness of diffeomorphism symmetry in Conformal Field Theory

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:06.544121Z

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Observation e00f149a-08c3-4259-bbbb-a1b8d15e9829 · outbound

This paper cites Mathematics of quantization and quantum fields.

Rational and non-rational two-dimensional conformal field theories arising from lattices Mathematics of quantization and quantum fields

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T12:05:59.994985Z

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Observation 9835680a-3611-4da8-b19a-be1fbdded9af · outbound

This paper cites an unresolved cited work.

Rational and non-rational two-dimensional conformal field theories arising from lattices Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:00.085001Z

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Observation 9f0fe68d-3cad-40ca-9602-30a3fb927933 · outbound

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

Rational and non-rational two-dimensional conformal field theories arising from lattices The Witt group of non-degenerate braided fusion categories

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:00.164815Z

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Observation 7edadef0-80b7-4b86-8204-f6708211c5b7 · outbound

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

Rational and non-rational two-dimensional conformal field theories arising from lattices On the structure of the Witt group of braided fusion categories

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:00.269955Z

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Observation 263b67e1-0c1e-4819-acd6-b66fde92a548 · outbound

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Rational and non-rational two-dimensional conformal field theories arising from lattices Unresolved cited work

Reference 21

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Observation 00c34a43-4f21-428c-8f2b-85c53a145f56 · outbound

This paper cites Tensor categories , volume 205 of Mathematical Surveys and Monographs.

Rational and non-rational two-dimensional conformal field theories arising from lattices Tensor categories , volume 205 of Mathematical Surveys and Monographs

Reference 22

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Observation 98ff5bd8-8ca8-4d7f-9047-3897dd9cc370 · outbound

This paper cites Conformal H aag- K astler nets, pointlike localized fields and the existence of operator product expansions.

Rational and non-rational two-dimensional conformal field theories arising from lattices Conformal H aag- K astler nets, pointlike localized fields and the existence of operator product expansions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:00.491278Z

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Observation 4612d808-cd5b-478e-8dbe-af312ea5b4df · outbound

This paper cites Vertex operator algebras and the M onster , volume 134 of Pure and Applied Mathematics.

Rational and non-rational two-dimensional conformal field theories arising from lattices Vertex operator algebras and the M onster , volume 134 of Pure and Applied Mathematics

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:06:08.958490Z

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Observation e4397a5d-b36f-4933-8666-837c8f1e4dd0 · outbound

This paper cites Fredenhagen, K.-H.

Rational and non-rational two-dimensional conformal field theories arising from lattices Fredenhagen, K.-H

Reference 25

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Observation 461f2143-4b6c-48d2-9bb4-bb9ba93400eb · outbound

This paper cites TFT construction of RCFT correlators I: Partition functions.

Rational and non-rational two-dimensional conformal field theories arising from lattices TFT construction of RCFT correlators I: Partition functions

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:00.659684Z

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Observation 22e692fd-036f-4118-8545-beebe1769a91 · outbound

This paper cites u rg Fr \.

Rational and non-rational two-dimensional conformal field theories arising from lattices u rg Fr \

Reference 27

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Observation e5e42115-36a5-43af-a4d9-c99116b27180 · outbound

This paper cites Review on the probabilistic construction and Conformal bootstrap in Liouville Theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:00.788526Z

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Observation 4f2db9fd-271f-4210-948d-e89a7c650bab · outbound

This paper cites Extensions of Conformal Nets and Superselection Structures.

Rational and non-rational two-dimensional conformal field theories arising from lattices Extensions of Conformal Nets and Superselection Structures

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:05.773470Z

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Observation e61cc312-23e8-4b13-8246-c9acaff1ce4c · outbound

This paper cites Energy bounds condition for intertwining operators of type $B$, $C$, and $G_2$ unitary affine vertex operator algebras.

Rational and non-rational two-dimensional conformal field theories arising from lattices Energy bounds condition for intertwining operators of type $B$, $C$, and $G_2$ unitary affine vertex operator algebras

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:05.578869Z

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Observation d6b46fa3-5577-4112-9247-8f7db3ac1079 · outbound

This paper cites Categorical extensions of conformal nets.

Rational and non-rational two-dimensional conformal field theories arising from lattices Categorical extensions of conformal nets

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:05.453618Z

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Observation 7d45c16e-6bc5-44a0-8267-8995360ca110 · outbound

This paper cites Local quantum physics.

Rational and non-rational two-dimensional conformal field theories arising from lattices Local quantum physics

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:06:08.778015Z

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Observation 21748acd-acbb-4c18-b468-6e8728838618 · outbound

This paper cites Full field algebras.

Rational and non-rational two-dimensional conformal field theories arising from lattices Full field algebras

Reference 33

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Observation c05bdbca-163b-4933-b196-d9ed5d2049f3 · outbound

This paper cites Vertex algebras for beginners , volume 10 of University Lecture Series.

Rational and non-rational two-dimensional conformal field theories arising from lattices Vertex algebras for beginners , volume 10 of University Lecture Series

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:06:08.639541Z

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Observation ac718bc6-a9c4-4955-9c1f-3d8bd4698a44 · outbound

This paper cites Classification of Local Conformal Nets. Case c < 1.

Rational and non-rational two-dimensional conformal field theories arising from lattices Classification of Local Conformal Nets. Case c < 1

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:05.295138Z

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Observation 6c13fb4e-9f2e-41ef-8e14-bb44c2a73f6c · outbound

This paper cites Classification of Two-dimensional Local Conformal Nets with c<1 and 2-cohomology Vanishing for Tensor Categories.

Rational and non-rational two-dimensional conformal field theories arising from lattices Classification of Two-dimensional Local Conformal Nets with c<1 and 2-cohomology Vanishing for Tensor Categories

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:05.118459Z

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Observation e9cb0bcf-3048-4329-9426-3babd33679a8 · outbound

This paper cites Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:04.939858Z

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Observation 6c1c5245-7bd4-45cf-9539-05cdda1c4fc6 · outbound

This paper cites Full field algebras, operads and tensor categories.

Rational and non-rational two-dimensional conformal field theories arising from lattices Full field algebras, operads and tensor categories

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.447630Z

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Observation ed16ac51-78ed-46d5-b586-08ff463c6353 · outbound

This paper cites L \"u scher and G.

Rational and non-rational two-dimensional conformal field theories arising from lattices L \"u scher and G

Reference 39

Resolution: verified exact; raw_fallback, observed 2026-08-07T12:06:04.726167Z

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Observation e4ab1b2f-bd34-45ca-bfc4-e2c63cbe2946 · outbound

This paper cites Conformal Subnets and Intermediate Subfactors.

Rational and non-rational two-dimensional conformal field theories arising from lattices Conformal Subnets and Intermediate Subfactors

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:04.450637Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6f0a37a8-dcfe-4070-a987-15a7791cc867 · outbound

This paper cites A Theory of Dimension.

Rational and non-rational two-dimensional conformal field theories arising from lattices A Theory of Dimension

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.622515Z

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Unavailable: canonical work link unavailable.

Observation a6d07ca5-3ff8-49dc-b970-0ab5a394c827 · outbound

This paper cites Rotational KMS states and type I conformal nets.

Rational and non-rational two-dimensional conformal field theories arising from lattices Rotational KMS states and type I conformal nets

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:04.293894Z

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Observation b3d0d7cf-f214-40d0-b8be-6532f07a6069 · outbound

This paper cites Categories for the working mathematician , volume 5 of Graduate Texts in Mathematics.

Rational and non-rational two-dimensional conformal field theories arising from lattices Categories for the working mathematician , volume 5 of Graduate Texts in Mathematics

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.703200Z

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Observation 9c8a1f51-9615-4352-b395-8a715a93c9ba · outbound

This paper cites Two-dimensional conformal field theory, full vertex algebra and current-current deformation.

Rational and non-rational two-dimensional conformal field theories arising from lattices Two-dimensional conformal field theory, full vertex algebra and current-current deformation

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.770765Z

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Unavailable: canonical work link unavailable.

Observation e31b03b3-33b8-4d64-95ea-9cece3d57548 · outbound

This paper cites Conformal covariance and the split property.

Rational and non-rational two-dimensional conformal field theories arising from lattices Conformal covariance and the split property

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.828893Z

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Unavailable: canonical work link unavailable.

Observation 2724e96e-8852-4e16-9706-6ef351d90025 · outbound

This paper cites Algebraic number theory , volume 322 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Rational and non-rational two-dimensional conformal field theories arising from lattices Algebraic number theory , volume 322 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.869602Z

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Unavailable: canonical work link unavailable.

Observation 09a91509-8e0d-4700-b61f-6eb7fe39f387 · outbound

This paper cites Module categories, weak Hopf algebras and modular invariants.

Rational and non-rational two-dimensional conformal field theories arising from lattices Module categories, weak Hopf algebras and modular invariants

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T12:06:01.998544Z

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Unavailable: canonical work link unavailable.

Observation 9836d97c-c645-4c27-9a91-29a2b9074786 · outbound

This paper cites Bounded Bose fields.

Rational and non-rational two-dimensional conformal field theories arising from lattices Bounded Bose fields

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:04.053759Z

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Observation ae5717cf-7773-4d2f-b217-e326db3227dd · outbound

This paper cites Chiral Observables and Modular Invariants.

Rational and non-rational two-dimensional conformal field theories arising from lattices Chiral Observables and Modular Invariants

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:03.918458Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd40697f-0e69-4069-945c-c84eeeaba27f · outbound

This paper cites Topological and conformal field theory as F robenius algebras.

Rational and non-rational two-dimensional conformal field theories arising from lattices Topological and conformal field theory as F robenius algebras

Reference 50

Resolution: verified exact; doi, observed 2026-08-07T12:06:03.149835Z

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Observation 4b84ed3c-72cf-4703-bf6f-10e069653b89 · outbound

This paper cites The definition of conformal field theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices The definition of conformal field theory

Reference 51

Resolution: verified exact; doi, observed 2026-08-07T12:06:03.025642Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c55e8e59-3cfc-4d35-afa9-0c271b1249c6 · outbound

This paper cites Categorification and correlation functions in conformal field theory.

Rational and non-rational two-dimensional conformal field theories arising from lattices Categorification and correlation functions in conformal field theory

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:03.762243Z

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Observation ac52e3ec-6804-4f8f-86f7-708e2c3d57c8 · outbound

This paper cites an unresolved cited work.

Rational and non-rational two-dimensional conformal field theories arising from lattices Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:06:08.524572Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5a510923-44dd-4fb1-a0dc-561a428c2ea3 · outbound

This paper cites Fusion of Positive Energy Representations of LSpin(2n).

Rational and non-rational two-dimensional conformal field theories arising from lattices Fusion of Positive Energy Representations of LSpin(2n)

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:03.616084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 48fc319c-2357-47f1-a097-6ad1d2c660f4 · outbound

This paper cites Operator Algebras and Conformal Field Theory III. Fusion of positive energy representations of LSU(N) using bounded operators.

Rational and non-rational two-dimensional conformal field theories arising from lattices Operator Algebras and Conformal Field Theory III. Fusion of positive energy representations of LSU(N) using bounded operators

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:03.485157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8393bdc6-17fa-47f7-9a8f-fea75c1d8dcd · outbound

This paper cites On the existence of regular vectors.

Rational and non-rational two-dimensional conformal field theories arising from lattices On the existence of regular vectors

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:03.316038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 78a665a0-d7df-4dbf-90a6-b2b417b29a16 · inbound

Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case cites this paper.

Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case Rational and non-rational two-dimensional conformal field theories arising from lattices

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-01T13:15:45.206009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.