Gravitational anomalies, entanglement entropy, and flat-space holography

Seyed Morteza Hosseini and Álvaro Véliz-Osorio
Phys. Rev. D 93, 046005 – Published 26 February 2016

Abstract

We introduce a prescription to compute the entanglement entropy of Galilean conformal field theories by combining gravitational anomalies and an İnönü-Wigner contraction. We find that our expression for the entanglement entropy in the thermal limit reproduces the Cardy formula for Galilean conformal field theories. Using this proposal, we calculate the entanglement entropy for a class of Galilean conformal field theories, which are believed to be dual to three-dimensional flat-space cosmological solutions. These geometries describe expanding (contracting) universes and can be viewed as the flat-space limit of rotating Bañados-Teitelboim-Zanelli black holes. We show that our finding reduces, in the appropriate limits, to the results discussed in the literature and provide interpretations for the previously unexplored regimes, such as flat-space chiral gravity.

  • Received 24 August 2015

DOI:https://doi.org/10.1103/PhysRevD.93.046005

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Seyed Morteza Hosseini1,2,* and Álvaro Véliz-Osorio3,†

  • 1Dipartimento di Fisica, Università di Milano-Bicocca, I-20126 Milano, Italy
  • 2INFN, sezione di Milano-Bicocca, I-20126 Milano, Italy
  • 3Mandelstam Institute for Theoretical Physics, School of Physics,University of the Witwatersrand, WITS, 2050 Johannesburg, South Africa

  • *morteza.hosseini@mib.infn.it
  • alvaro.velizosorio@wits.ac.za

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Issue

Vol. 93, Iss. 4 — 15 February 2016

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