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Title: Corrections in the relative entropy of black hole microstates

Abstract

Inspired by the recent work of Bao and Ooguri (BO), we investigate the distinguishability of the black hole microstates from the thermal state as captured by the average of their relative entropies: the Holevo information. Under the assumption that the vacuum conformal block dominates the entropy calculation, BO find that the average relative entropy vanishes on spatial regions smaller than half the size of the CFT. Nonetheless, vacuum block dominance fails for some microstates of the M = 0 BTZ black hole. We show that this renders the average relative entropy nonzero even on infinitesimal intervals at O(c 0).

Authors:
 [1];  [2]
  1. Univ. of California, Los Angeles, CA (United States); Univ. of California, Santa Barbara, CA (United States)
  2. Univ. of Paris-Saclay, Palaiseau (France). École Polytechnique (EP); Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1505230
Grant/Contract Number:  
[SC0007870]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory; D-branes

Citation Formats

Michel, Ben, and Puhm, Andrea. Corrections in the relative entropy of black hole microstates. United States: N. p., 2018. Web. doi:10.1007/jhep07(2018)179.
Michel, Ben, & Puhm, Andrea. Corrections in the relative entropy of black hole microstates. United States. doi:10.1007/jhep07(2018)179.
Michel, Ben, and Puhm, Andrea. Tue . "Corrections in the relative entropy of black hole microstates". United States. doi:10.1007/jhep07(2018)179. https://www.osti.gov/servlets/purl/1505230.
@article{osti_1505230,
title = {Corrections in the relative entropy of black hole microstates},
author = {Michel, Ben and Puhm, Andrea},
abstractNote = {Inspired by the recent work of Bao and Ooguri (BO), we investigate the distinguishability of the black hole microstates from the thermal state as captured by the average of their relative entropies: the Holevo information. Under the assumption that the vacuum conformal block dominates the entropy calculation, BO find that the average relative entropy vanishes on spatial regions smaller than half the size of the CFT. Nonetheless, vacuum block dominance fails for some microstates of the M = 0 BTZ black hole. We show that this renders the average relative entropy nonzero even on infinitesimal intervals at O(c0).},
doi = {10.1007/jhep07(2018)179},
journal = {Journal of High Energy Physics (Online)},
number = [7],
volume = [2018],
place = {United States},
year = {2018},
month = {7}
}

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