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

Alexandre Belin; Christoph A. Keller; Ida G. Zadeh

doi:10.1088/1751-8121/aa8a11

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

Alexandre Belin, Christoph A. Keller, Ida G. Zadeh

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

We compute genus two partition functions in two-dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi 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 δ ≤ 0.19. This means in particular that unlike the second Rnyi entropy, the third one is no longer universal.

Original language	English (US)
Article number	435401
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	50
Issue number	43
DOIs	https://doi.org/10.1088/1751-8121/aa8a11
State	Published - Sep 27 2017
Externally published	Yes

Keywords

AdS/CFT correspondence
Renyi entanglement entropy
conformal field theory
genus two partition functions
holography
phase transition

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8121/aa8a11

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title = "Genus two partition functions and R{\'e}nyi entropies of large c conformal field theories",

abstract = "We compute genus two partition functions in two-dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi 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 δ ≤ 0.19. This means in particular that unlike the second Rnyi entropy, the third one is no longer universal.",

keywords = "AdS/CFT correspondence, Renyi entanglement entropy, conformal field theory, genus two partition functions, holography, phase transition",

author = "Alexandre Belin and Keller, {Christoph A.} and Zadeh, {Ida G.}",

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year = "2017",

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T1 - Genus two partition functions and Rényi entropies of large c conformal field theories

AU - Belin, Alexandre

AU - Keller, Christoph A.

AU - Zadeh, Ida G.

PY - 2017/9/27

Y1 - 2017/9/27

N2 - We compute genus two partition functions in two-dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi 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 δ ≤ 0.19. This means in particular that unlike the second Rnyi entropy, the third one is no longer universal.

AB - We compute genus two partition functions in two-dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi 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 δ ≤ 0.19. This means in particular that unlike the second Rnyi entropy, the third one is no longer universal.

KW - AdS/CFT correspondence

KW - Renyi entanglement entropy

KW - conformal field theory

KW - genus two partition functions

KW - holography

KW - phase transition

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DO - 10.1088/1751-8121/aa8a11

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SN - 1751-8113

VL - 50

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 43

M1 - 435401

ER -

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

Abstract

Keywords

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