Entanglement Entropy in Galilean Conformal Field Theories and Flat Holography

Arjun Bagchi, Rudranil Basu, Daniel Grumiller, and Max Riegler
Phys. Rev. Lett. 114, 111602 – Published 19 March 2015

Abstract

We present the analytical calculation of entanglement entropy for a class of two-dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These field theories are the putative holographic duals to theories of gravity in three-dimensional asymptotically flat spacetimes. We provide a check of our field theory answers by an analysis of geodesics. We also exploit the Chern-Simons formulation of three-dimensional gravity and adapt recent proposals of calculating entanglement entropy by Wilson lines in this context to find an independent confirmation of our results from holography.

  • Received 21 October 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.111602

© 2015 American Physical Society

Authors & Affiliations

Arjun Bagchi1,2,*, Rudranil Basu1,†, Daniel Grumiller2,‡, and Max Riegler2,3,§

  • 1Indian Institute of Science Education and Research (IISER), Dr Homi Bhabha Road, Pashan, Pune, Maharashtra 411008, India
  • 2Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8–10/136, A-1040 Vienna, Austria
  • 3Yukawa Institute for Theoretical Physics (YITP), Kyoto University, Kyoto 606-8502, Japan

  • *a.bagchi@iiserpune.ac.in
  • rudranil@iiserpune.ac.in
  • grumil@hep.itp.tuwien.ac.at
  • §max.riegler@yukawa.kyoto-u.ac.jp

See Also

Wilson lines and holographic entanglement entropy in Galilean conformal field theories

Rudranil Basu and Max Riegler
Phys. Rev. D 93, 045003 (2016)

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Issue

Vol. 114, Iss. 11 — 20 March 2015

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