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Title: Thermal decay without information loss in horizonless microstate geometries

Abstract

We develop a new hybrid WKB technique to compute boundary-to-boundary scalar Green functions in asymptotically-AdS backgrounds in which the scalar wave equation is separable and is explicitly solvable in the asymptotic region. We apply this technique to a family of six-dimensional \frac{1}{8} 1 8 -BPS asymptotically AdS _3\,\times\, 3 × S ^3 3 horizonless geometries that have the same charges and angular momenta as a D1-D5-P black hole with a large horizon area. At large and intermediate distances, these geometries very closely approximate the extremal-BTZ \,\times\, × S ^3 3 geometry of the black hole, but instead of having an event horizon, these geometries have a smooth highly-redshifted global-AdS _3\,\times\, 3 × S ^3 3 cap in the IR. We show that the response function of a scalar probe, in momentum space, is essentially given by the pole structure of the highly-redshifted global-AdS _3 3 modulated by the BTZ response function. In position space, this translates into a sharp exponential black-hole-like decay for times shorter than N_1 N_5 N 1 N 5 , followed by the emergence of evenly spaced “echoes from the cap,” with period \sim N_1 N_5 N 1 N 5 . Our result shows that horizonless microstate geometries can have the same thermal decay as black holes without the associated information loss.

Authors:
 [1];  [1];  [1];  [2]
  1. L'Institut de physique théorique
  2. L'Institut de physique théorique, University of Southern California
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1602089
Grant/Contract Number:  
SC0011687
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 5; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English

Citation Formats

Bena, Iosif, Heidmann, Pierre, Monten, Ruben, and Warner, Nicholas. Thermal decay without information loss in horizonless microstate geometries. Netherlands: N. p., 2019. Web. doi:10.21468/SciPostPhys.7.5.063.
Bena, Iosif, Heidmann, Pierre, Monten, Ruben, & Warner, Nicholas. Thermal decay without information loss in horizonless microstate geometries. Netherlands. doi:10.21468/SciPostPhys.7.5.063.
Bena, Iosif, Heidmann, Pierre, Monten, Ruben, and Warner, Nicholas. Thu . "Thermal decay without information loss in horizonless microstate geometries". Netherlands. doi:10.21468/SciPostPhys.7.5.063.
@article{osti_1602089,
title = {Thermal decay without information loss in horizonless microstate geometries},
author = {Bena, Iosif and Heidmann, Pierre and Monten, Ruben and Warner, Nicholas},
abstractNote = {We develop a new hybrid WKB technique to compute boundary-to-boundary scalar Green functions in asymptotically-AdS backgrounds in which the scalar wave equation is separable and is explicitly solvable in the asymptotic region. We apply this technique to a family of six-dimensional \frac{1}{8} 1 8 -BPS asymptotically AdS _3\,\times\, 3 × S ^3 3 horizonless geometries that have the same charges and angular momenta as a D1-D5-P black hole with a large horizon area. At large and intermediate distances, these geometries very closely approximate the extremal-BTZ \,\times\, × S ^3 3 geometry of the black hole, but instead of having an event horizon, these geometries have a smooth highly-redshifted global-AdS _3\,\times\, 3 × S ^3 3 cap in the IR. We show that the response function of a scalar probe, in momentum space, is essentially given by the pole structure of the highly-redshifted global-AdS _3 3 modulated by the BTZ response function. In position space, this translates into a sharp exponential black-hole-like decay for times shorter than N_1 N_5 N 1 N 5 , followed by the emergence of evenly spaced “echoes from the cap,” with period \sim N_1 N_5 ∼ N 1 N 5 . Our result shows that horizonless microstate geometries can have the same thermal decay as black holes without the associated information loss.},
doi = {10.21468/SciPostPhys.7.5.063},
journal = {SciPost Physics Proceedings},
number = 5,
volume = 7,
place = {Netherlands},
year = {2019},
month = {11}
}

Journal Article:
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DOI: 10.21468/SciPostPhys.7.5.063

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