Supersymmetric Renyi entropy in CFT 2 and AdS 3

Amit Giveon*, David Kutasov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Abstract: We show that in any two dimensional conformal field theory with (2, 2) super-symmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit n → 1 it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on AdS3.

Original languageAmerican English
Article number42
Pages (from-to)1-13
Number of pages13
JournalJournal of High Energy Physics
Volume2016
Issue number1
DOIs
StatePublished - 1 Jan 2016

Bibliographical note

Publisher Copyright:
© 2016, The Author(s).

Keywords

  • AdS-CFT Correspondence
  • Conformal Field Models in String Theory
  • Extended Supersymmetry
  • Field Theories in Lower Dimensions

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