Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:53:59.674295Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 100 of 118 outbound references and 0 inbound Pith citation observations for arXiv:2412.00192.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:53:59.674295Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
100 of 118 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 70aad662-5e07-4498-a13e-2846403acc5b · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 873bf6af-d5de-4a91-beff-e9ed5d62dbc5 · outbound
R\'enyi entropy of single-character CFTs on the torus projection channel
Reference 2
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Unavailable: canonical work link unavailable.
Observation f85f4aa2-135e-4991-96b3-d10eb9c38b68 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 3
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Unavailable: canonical work link unavailable.
Observation 267b12f2-a982-4c81-9e59-7cd21bed1d67 · outbound
R\'enyi entropy of single-character CFTs on the torus OPE channel
Reference 4
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Observation 3c3f637b-10a4-47ad-a172-235ee62eabfd · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 5
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Observation 48433c06-8c98-4c6a-ab63-acc4bd16bf9b · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 6
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Observation e8e51ab2-4260-407b-94b9-ae1c5720051e · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 7
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Observation e1ec9354-99a3-4d94-9400-62e920643cd3 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 8
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Observation 463a1a29-109a-4d50-b636-e43704dde576 · outbound
R\'enyi entropy of single-character CFTs on the torus square-free
Reference 9
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Unavailable: canonical work link unavailable.
Observation 90bbaca6-8bf8-4f97-8f15-c32ffab4866a · outbound
R\'enyi entropy of single-character CFTs on the torus The parent CFT is the E8,1 WZW model with c = 8, and the partition function is given by Z(τ, ¯τ ) = |j(τ ) 1 3 |2, (3.27) where j(τ ) is the Klein-j invariant [cf
Reference 10
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Observation 1199fc11-7817-4f91-9467-d8878c83ff22 · outbound
R\'enyi entropy of single-character CFTs on the torus We can check this by comparing the characters of the two CFTs
Reference 11
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Observation fcb7f811-3a91-443c-9547-326962a742e8 · outbound
R\'enyi entropy of single-character CFTs on the torus Using (2.6), we see thatW4 → τ 6(det M (S))W4
Reference 12
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Unavailable: canonical work link unavailable.
Observation 09d71a41-117b-40ab-b01d-f7aa2f3199a3 · outbound
R\'enyi entropy of single-character CFTs on the torus This means thatα(4) 0 must be a modular form of weight 18 +k
Reference 13
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Observation 25557dbc-9b6f-458e-b76e-fd616bb7e279 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 14
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Unavailable: canonical work link unavailable.
Observation 1726032a-2bc6-4daf-a7a1-6e0265ca99ee · outbound
R\'enyi entropy of single-character CFTs on the torus Topological entanglement entropy
Reference 15
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Unavailable: canonical work link unavailable.
Observation 1849a895-eb13-4c60-bb4b-46cbaddca9c6 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 16
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Unavailable: canonical work link unavailable.
Observation b2f97b38-44f8-435e-88d8-8c98bcc45b38 · outbound
R\'enyi entropy of single-character CFTs on the torus Reeh and S
Reference 17
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Unavailable: canonical work link unavailable.
Observation 21a2c56b-c7bb-468d-8423-a5539d7d236b · outbound
R\'enyi entropy of single-character CFTs on the torus Entanglement in a simple quantum phase transition
Reference 18
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Unavailable: canonical work link unavailable.
Observation 6e07a693-85bf-4588-b53b-9d8ee02ab37f · outbound
R\'enyi entropy of single-character CFTs on the torus Entanglement in quantum critical phenomena
Reference 19
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Unavailable: canonical work link unavailable.
Observation 34f4946a-a7a7-467e-a2ea-2b51d3918343 · outbound
R\'enyi entropy of single-character CFTs on the torus Fine-grained entanglement loss along renormalization group flows
Reference 20
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fdfaf14e-83d9-4269-9ee6-674549a3f130 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 21
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation df23a72e-9d9f-473d-85aa-7b4f7cd092cc · outbound
R\'enyi entropy of single-character CFTs on the torus Cramer, J
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation afa761ef-8a15-4bda-84d2-ba01d1bd6dd3 · outbound
R\'enyi entropy of single-character CFTs on the torus Area laws in quantum systems: mutual information and correlations
Reference 23
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Unavailable: canonical work link unavailable.
Observation 91e8f65b-dfa0-4108-8a84-ec6c5b7da407 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 24
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Observation 43216030-0c67-4b9e-83a1-03cf9219a38c · outbound
R\'enyi entropy of single-character CFTs on the torus Bombelli, R
Reference 25
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Unavailable: canonical work link unavailable.
Observation b671ca5c-9429-4b77-a405-256c8daa457d · outbound
R\'enyi entropy of single-character CFTs on the torus Entropy and Area
Reference 26
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Observation 5d064a7a-a02d-4baa-a8ad-e3f93c511882 · outbound
R\'enyi entropy of single-character CFTs on the torus On Geometric Entropy
Reference 27
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Unavailable: canonical work link unavailable.
Observation 1b6e7ba8-a382-444b-80bb-646f079f51bc · outbound
R\'enyi entropy of single-character CFTs on the torus The entropy of Hawking radiation
Reference 28
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Unavailable: canonical work link unavailable.
Observation 99d1fde6-98d6-4fd0-b3cf-577f162d80e8 · outbound
R\'enyi entropy of single-character CFTs on the torus Entanglement Entropy and Quantum Field Theory
Reference 29
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Unavailable: canonical work link unavailable.
Observation bf4e2725-453d-4009-b08b-927cf979a271 · outbound
R\'enyi entropy of single-character CFTs on the torus A finite entanglement entropy and the c-theorem
Reference 30
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Unavailable: canonical work link unavailable.
Observation dfafc29d-0f01-44b2-9310-aac7d0e13e9f · outbound
R\'enyi entropy of single-character CFTs on the torus Markov property of the CFT vacuum and the a-theorem
Reference 31
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Unavailable: canonical work link unavailable.
Observation be8d092a-7613-42d9-8c0c-f340964cc207 · outbound
R\'enyi entropy of single-character CFTs on the torus Aspects of Holographic Entanglement Entropy
Reference 32
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Observation bf0d6d15-38ca-4e7c-abbd-2e7b7741f084 · outbound
R\'enyi entropy of single-character CFTs on the torus Holographic Derivation of Entanglement Entropy from AdS/CFT
Reference 33
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Observation 5e570b87-9f64-4f00-a866-c12e341bf3fc · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 34
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Unavailable: canonical work link unavailable.
Observation c56eb360-9c81-4c38-8fa0-686a22cb9945 · outbound
R\'enyi entropy of single-character CFTs on the torus Microscopic Origin of the Bekenstein-Hawking Entropy
Reference 35
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Observation e1bf5b1c-c4de-47a2-a016-eee45a01f53a · outbound
R\'enyi entropy of single-character CFTs on the torus Guenin and B
Reference 36
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Observation 33740104-ec88-4145-960c-a236439108e3 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 37
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Observation 208b4cf0-6a82-4352-8b65-9455d327acb0 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 38
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Observation 843b976f-cd83-4206-8328-5dc28524848c · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 39
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Unavailable: canonical work link unavailable.
Observation 3e274372-d8b9-4b61-a94c-6d19643c798b · outbound
R\'enyi entropy of single-character CFTs on the torus Rényi, inProceedings of the 4th Berkeley Symposium on Mathematics, Statistics and Probability(University of California Press, Berkeley-Los Angeles, Calif., 1961) pp
Reference 40
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Observation d934ca52-8c48-4186-91bc-c9062f763c1d · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 41
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Observation 8b348a10-aa3b-4179-a8f1-f87221a4ce4d · outbound
R\'enyi entropy of single-character CFTs on the torus Klemm and M
Reference 42
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Unavailable: canonical work link unavailable.
Observation 39ade844-12a9-466e-a961-eca661ec1e28 · outbound
R\'enyi entropy of single-character CFTs on the torus Entanglement Renyi entropies in holographic theories
Reference 43
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Observation 1d21a97d-0ffb-480c-ae7a-d0c851156946 · outbound
R\'enyi entropy of single-character CFTs on the torus Holographic entanglement beyond classical gravity
Reference 44
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Unavailable: canonical work link unavailable.
Observation af71cfe7-e1b3-4058-ad20-406d4b69de45 · outbound
R\'enyi entropy of single-character CFTs on the torus Renyi entropies of free bosons on the torus and holography
Reference 45
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Unavailable: canonical work link unavailable.
Observation 931c45bc-eb9a-4740-8e32-ea5096615951 · outbound
R\'enyi entropy of single-character CFTs on the torus Permutation orbifolds and holography
Reference 46
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Observation beae569f-320c-46fd-b185-d2718da67744 · outbound
R\'enyi entropy of single-character CFTs on the torus Witten Diagrams for Torus Conformal Blocks
Reference 47
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Unavailable: canonical work link unavailable.
Observation 479db856-842e-4add-8e02-3bd77572e87e · outbound
R\'enyi entropy of single-character CFTs on the torus Holographic duals of large-c torus conformal blocks
Reference 48
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Unavailable: canonical work link unavailable.
Observation 63e4e1ac-8579-4fe6-936e-4812ebc878b7 · outbound
R\'enyi entropy of single-character CFTs on the torus Large-c superconformal torus blocks
Reference 49
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Unavailable: canonical work link unavailable.
Observation 8bc135e6-f3d1-4a47-82a8-3e830c94cdc3 · outbound
R\'enyi entropy of single-character CFTs on the torus Semiclassical torus blocks in the t-channel
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 60f23547-9a54-4d83-afc8-68a9cce77502 · outbound
R\'enyi entropy of single-character CFTs on the torus More on Wilson toroidal networks and torus blocks
Reference 51
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Unavailable: canonical work link unavailable.
Observation 3b66265a-b4b1-4229-b282-016310fae64f · outbound
R\'enyi entropy of single-character CFTs on the torus Torus conformal blocks and Casimir equations in the necklace channel
Reference 52
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Observation 16a8471e-6901-4c0e-8721-bb3f459cdbbb · outbound
R\'enyi entropy of single-character CFTs on the torus Pavlov, Eur
Reference 53
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Unavailable: canonical work link unavailable.
Observation df16f3a3-df39-412f-b781-6ad80c328f21 · outbound
R\'enyi entropy of single-character CFTs on the torus Torus shadow formalism and exact global conformal blocks
Reference 54
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Unavailable: canonical work link unavailable.
Observation 6473a5bc-97a7-4663-96d1-d1538f8f7d04 · outbound
R\'enyi entropy of single-character CFTs on the torus R\'enyi Entropy of Free Compact Boson on Torus
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c15acce9-9725-4d73-be88-abde4b789846 · outbound
R\'enyi entropy of single-character CFTs on the torus Entanglement Entropy in Generalised Quantum Lifshitz Models
Reference 56
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Unavailable: canonical work link unavailable.
Observation 4e215e36-4892-42fe-807d-e24d29b40d5e · outbound
R\'enyi entropy of single-character CFTs on the torus Haag, Local Quantum Physics , Theoretical and Mathematical Physics (Springer Berlin, Heidelberg, 2012)
Reference 57
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Observation 7f7a201e-8746-4a35-a433-aa5dcd74393a · outbound
R\'enyi entropy of single-character CFTs on the torus The entanglement spectrum of chiral fermions on the torus
Reference 58
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Observation 7378ee00-0a00-4c1b-92f2-b4ccc7a4644b · outbound
R\'enyi entropy of single-character CFTs on the torus Resolving modular flow: a toolkit for free fermions
Reference 59
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Observation a89b96e4-11e1-4f58-97aa-6da05ff2bcf3 · outbound
R\'enyi entropy of single-character CFTs on the torus The entanglement and relative entropy of a chiral fermion on the torus
Reference 60
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Unavailable: canonical work link unavailable.
Observation ad258be0-b4cd-491a-afe6-21e82dbf79b1 · outbound
R\'enyi entropy of single-character CFTs on the torus Modular energy inequalities from relative entropy
Reference 61
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Observation 16bd0f90-6287-4b86-b938-4fbd343a65ea · outbound
R\'enyi entropy of single-character CFTs on the torus Modular Hamiltonian of Excited States in Conformal Field Theory
Reference 62
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Unavailable: canonical work link unavailable.
Observation b3375257-c031-4594-b602-0ffbdd1e935e · outbound
R\'enyi entropy of single-character CFTs on the torus Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields
Reference 63
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Unavailable: canonical work link unavailable.
Observation a89ff558-2022-4e7d-9794-4e83a4389f5a · outbound
R\'enyi entropy of single-character CFTs on the torus Modular invariance and entanglement entropy
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c763460c-4bb7-4af1-a4a0-717726458836 · outbound
R\'enyi entropy of single-character CFTs on the torus Entanglement, Replicas, and Thetas
Reference 65
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 194553f0-8531-469d-ab81-42c04a264f00 · outbound
R\'enyi entropy of single-character CFTs on the torus Fermions on replica geometries and the $\Theta$-$\theta$ relation
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f4706b57-7fca-46c7-8e71-f82225d45781 · outbound
R\'enyi entropy of single-character CFTs on the torus Nonrelativistic Dirac fermions on the torus
Reference 67
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Unavailable: canonical work link unavailable.
Observation 50869ab5-f75d-4793-8248-309f2e5d701a · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 68
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Observation 54a09120-b039-443b-a773-b7a582c24fc7 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 69
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Observation bac83836-9aa3-4deb-860c-a46e56bf5c78 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 70
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Unavailable: canonical work link unavailable.
Observation a72f161d-c114-4094-932b-025214654a9c · outbound
R\'enyi entropy of single-character CFTs on the torus On 2d Conformal Field Theories with Two Characters
Reference 71
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Unavailable: canonical work link unavailable.
Observation 0c1458cd-9236-4c8d-8d4a-60ec7c8b6e49 · outbound
R\'enyi entropy of single-character CFTs on the torus Cosets of Meromorphic CFTs and Modular Differential Equations
Reference 72
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Unavailable: canonical work link unavailable.
Observation 91a3f060-f97a-461b-b427-9246ae18374b · outbound
R\'enyi entropy of single-character CFTs on the torus Two-dimensional RCFT's without Kac-Moody symmetry
Reference 73
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Unavailable: canonical work link unavailable.
Observation 7f8a69d8-54d4-4f65-a7ac-04d0c95f745e · outbound
R\'enyi entropy of single-character CFTs on the torus Towards a Classification of Two-Character Rational Conformal Field Theories
Reference 74
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Observation f79441f9-0fdd-4ff3-8e8d-839dbf7be642 · outbound
R\'enyi entropy of single-character CFTs on the torus Curiosities above c = 24
Reference 75
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Unavailable: canonical work link unavailable.
Observation 20b11cd8-1479-4692-8aed-39942c17b25a · outbound
R\'enyi entropy of single-character CFTs on the torus Rational CFT With Three Characters: The Quasi-Character Approach
Reference 76
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Observation c6d43034-69e6-4097-aee9-5909d672807f · outbound
R\'enyi entropy of single-character CFTs on the torus Classification of Unitary RCFTs with Two Primaries and Central Charge Less Than 25
Reference 77
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Observation 164b4b88-d044-4369-84a7-5eb18de4f6ac · outbound
R\'enyi entropy of single-character CFTs on the torus Meromorphic Cosets and the Classification of Three-Character CFT
Reference 78
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Observation daea218f-4243-479e-8eed-08f353bf164b · outbound
R\'enyi entropy of single-character CFTs on the torus Modular Differential Equations with Movable Poles and Admissible RCFT Characters
Reference 79
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Observation b9b85e56-d8a6-408c-aa41-3d6c380e84d9 · outbound
R\'enyi entropy of single-character CFTs on the torus Nayak, S
Reference 80
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Observation c006c555-3113-4ffe-99c9-6288678eab7d · outbound
R\'enyi entropy of single-character CFTs on the torus Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids
Reference 81
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Observation 642c236c-c61a-45e3-a28d-a298a0fc813d · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 82
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Observation 46ff10d7-1241-4738-9319-68a5f5147b6a · outbound
R\'enyi entropy of single-character CFTs on the torus Goddard, in Conference on Infinite-dimensional Lie Algebras and Groups(World Scientific, Singapore, 1994)
Reference 83
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Observation 06f27cd1-1703-46cc-8ea7-79d41701f08b · outbound
R\'enyi entropy of single-character CFTs on the torus Meromorphic c=24 Conformal Field Theories
Reference 84
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Observation cbd84a19-b5ef-4c0a-8130-c506b4a7f95c · outbound
R\'enyi entropy of single-character CFTs on the torus Meromorphic CFTs have central charges c = 8$\mathbb{N}$: a proof based on the MLDE approach and Rademacher series
Reference 85
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5f3a3897-cf96-466c-952b-094ebae0fdf3 · outbound
R\'enyi entropy of single-character CFTs on the torus Witten, Commun
Reference 86
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Observation b6d80c60-9576-4f65-99b1-bbe0acc9185c · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 87
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Observation 9d9f88e4-67da-40ab-8286-a500264db4cd · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 88
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Observation 0e9cdb7b-7f10-46e4-b26d-6fbe88682707 · outbound
R\'enyi entropy of single-character CFTs on the torus Frenkel, J
Reference 89
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Observation e206daa1-75e2-4185-a043-3ffa33a52171 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 90
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Observation 8cc0db8c-c34d-493a-bff4-7964d3e2abe9 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 91
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation afece905-2011-4f14-9831-1d64736b6cae · outbound
R\'enyi entropy of single-character CFTs on the torus J.Dixon, P.H
Reference 92
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0ecd44c9-7b93-40de-84ea-2261a5eb3a5e · outbound
R\'enyi entropy of single-character CFTs on the torus Bantay, Lett
Reference 93
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 34793079-2591-42ab-868c-aab68fabdef3 · outbound
R\'enyi entropy of single-character CFTs on the torus Unresolved cited work
Reference 94
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6125c3c7-0b37-4435-83f6-6e22b266df4c · outbound
R\'enyi entropy of single-character CFTs on the torus Monstrous String-String Duality
Reference 95
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 98e1e820-e853-4864-bbe5-06fd1c2d27d2 · outbound
R\'enyi entropy of single-character CFTs on the torus Mathieu Moonshine in the elliptic genus of K3
Reference 96
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6106177d-a935-4372-af73-39be7fa2f659 · outbound
R\'enyi entropy of single-character CFTs on the torus Gannon,Moonshine beyond the MonsterThe Bridge Connecting Algebra, Modular Forms and Physics, Cam- bridge Monographs on Mathematical Physics (Cam- bridge University Press, 2010)
Reference 97
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 764d13d8-9680-48f1-9c6a-cd1383a1314f · outbound
R\'enyi entropy of single-character CFTs on the torus On Rademacher Sums, the Largest Mathieu Group, and the Holographic Modularity of Moonshine
Reference 98
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 681623fb-ed51-4cfe-a015-4f7e9a93ce19 · outbound
R\'enyi entropy of single-character CFTs on the torus Umbral Moonshine
Reference 99
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffd21c71-c025-440c-938c-5ae1d9cf6361 · outbound
R\'enyi entropy of single-character CFTs on the torus Mock Modular Mathieu Moonshine Modules
Reference 100
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.