• Open Access

Local Operators in the Eternal Black Hole

Kyriakos Papadodimas and Suvrat Raju
Phys. Rev. Lett. 115, 211601 – Published 16 November 2015

Abstract

In the AdS/CFT correspondence, states obtained by Hamiltonian evolution of the thermofield doubled state are also dual to an eternal black-hole geometry, which is glued to the boundary with a time shift generated by a large diffeomorphism. We describe gauge-invariant relational observables that probe the black hole interior in these states and constrain their properties using effective field theory. By adapting recent versions of the information paradox we show that these observables are necessarily described by state-dependent bulk-boundary maps, which we construct explicitly.

  • Received 9 May 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.211601

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Authors & Affiliations

Kyriakos Papadodimas*

  • Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands and Theory Group, Physics Department, CERN, CH-1211 Geneva 23, Switzerland

Suvrat Raju

  • International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, IISc Campus, Bengaluru 560012, India

  • *kyriakos.papadodimas@cern.ch
  • suvrat@icts.res.in

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Issue

Vol. 115, Iss. 21 — 20 November 2015

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