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 journalArticle

22 Scopus citations


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 languageEnglish (US)
Article number435401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number43
Publication statusPublished - Sep 27 2017
Externally publishedYes



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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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