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Genus two partition functions and Rényi entropies of large c conformal field theories

Genus two partition functions and Rényi entropies of large c conformal field theories
Genus two partition functions and Rényi entropies of large c conformal field theories
We compute genus two partition functions in two-dimensional conformal field theories at large central charge, focusing on surfaces that give the third Rényi entropy of two intervals. We compute this for generalized free theories and for symmetric orbifolds, and compare it to the result in pure gravity. We find a new phase transition if the theory contains a light operator of dimension. This means in particular that unlike the second Rényi entropy, the third one is no longer universal.
Belin, Alexandre
178d0fa8-41ea-4db5-993e-acae42d14148
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
Belin, Alexandre
178d0fa8-41ea-4db5-993e-acae42d14148
Keller, Christoph A.
ef0bdcf5-45e2-4e94-b07f-336c851566d4
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae

Belin, Alexandre, Keller, Christoph A. and Zadeh, Ida G. (2017) Genus two partition functions and Rényi entropies of large c conformal field theories. J.Phys.A, 50 (43). (doi:10.1088/1751-8121/aa8a11).

Record type: Article

Abstract

We compute genus two partition functions in two-dimensional conformal field theories at large central charge, focusing on surfaces that give the third Rényi entropy of two intervals. We compute this for generalized free theories and for symmetric orbifolds, and compare it to the result in pure gravity. We find a new phase transition if the theory contains a light operator of dimension. This means in particular that unlike the second Rényi entropy, the third one is no longer universal.

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Published date: 26 September 2017

Identifiers

Local EPrints ID: 501491
URI: http://eprints.soton.ac.uk/id/eprint/501491
DOI: doi:10.1088/1751-8121/aa8a11
PURE UUID: c6957f07-0fe5-4c1d-be6b-588a2af3f7ba
ORCID for Ida G. Zadeh: ORCID iD orcid.org/0000-0002-8803-0823

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Date deposited: 02 Jun 2025 17:00
Last modified: 03 Jun 2025 02:14

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Contributors

Author: Alexandre Belin
Author: Christoph A. Keller
Author: Ida G. Zadeh ORCID iD

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