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

Authors
Publication date 2017
Journal Journal of Physics A: Mathematical and Theoretical
Article number 435401
Volume | Issue number 50 | 43
Number of pages 30
Organisations
  • Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
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.
Document type Article
Language English
Published at https://doi.org/10.1088/1751-8121/aa8a11
Other links https://www.scopus.com/pages/publications/85031017362
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