On the universality of late-time correlators in semi-classical 2d CFTs

Souvik Banerjee*, Jan-Willem Bryan, Gideon Vos

*Corresponding author for this work

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Abstract

In the framework of the AdS3/CFT2 correspondence, we present a systematic analysis of the late time thermalization of a two dimensional CFT state created by insertion of small number of heavy operators on the vacuum. We show that at late Lorentzian time, the universal features of this thermalization are solely captured by the eigenvalues of the monodromy matrix corresponding to the solutions of the uniformization equation. We discuss two different ways to extract the monodromy eigenvalues while bypassing the need for finding explicitly the full monodromy matrix - first, using a monodromy preserving diffeomorphism and second using Chen-Simons formulation of gravity in AdS(3). Both of the methods yield the same precise relation between the eigenvalues and the final black hole temperature at late Lorentzian time.

Original languageEnglish
Article number047
Number of pages39
JournalJournal of High Energy Physics
Volume2018
Issue number8
DOIs
Publication statusPublished - 10-Aug-2018

Keywords

  • AdS-CFT Correspondence
  • Black Holes
  • Conformal Field Theory
  • COADJOINT ORBITS
  • FIELD-THEORIES
  • GRAVITY

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