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.

Belin, A., Keller, C., Zadeh, I. (2017). Genus two partition functions and Rényi entropies of large c conformal field theories. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 50(43) [10.1088/1751-8121/aa8a11].

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

Belin A;
2017

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.
Articolo in rivista - Articolo scientifico
AdS/CFT correspondence; conformal field theory; genus two partition functions; holography; phase transition; Renyi entanglement entropy
English
2017
50
43
435401
reserved
Belin, A., Keller, C., Zadeh, I. (2017). Genus two partition functions and Rényi entropies of large c conformal field theories. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 50(43) [10.1088/1751-8121/aa8a11].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396364
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