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Title: Toward holographic reconstruction of bulk geometry from lattice simulations

Abstract

A black hole described in SU(N ) gauge theory consists of N D-branes. By separating one of the D-branes from others and studying the interaction between them, the black hole geometry can be probed. In order to obtain quantitative results, we employ the lattice Monte Carlo simulation. As a proof of the concept, we perform an explicit calculation in the matrix model dual to the black zero-brane in type IIA string theory. We demonstrate this method actually works in the high temperature region, where the stringy correction is large. We argue possible dual gravity interpretations.

Authors:
ORCiD logo [1];  [2];  [3];  [4];  [5]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division; Forschungszentrum Julich (Germany). Inst. of Nuclear Physics. Inst. for Advanced Simulation
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division; Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics. The Hakubi Center for Advanced Research
  4. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics; Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics
  5. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Kyoto Univ. (Japan)
Sponsoring Org.:
National Science Foundation (NSF); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan); German Research Foundation (DFG); National Natural Science Foundation of China (NNSFC); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1493673
Alternate Identifier(s):
OSTI ID: 1425129; OSTI ID: 1474364
Report Number(s):
BNL-203211-2018-JAAM; LLNL-JRNL-732009
Journal ID: ISSN 1029-8479; TRN: US1802050
Grant/Contract Number:  
SC0012704; AC52-07NA27344; 32540; 25287046; 17K14285; AC02-05CH11231
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: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; black holes in string theory; lattice quantum field theory; gauge-gravity correspondence; matrix theories; Physics - Physics of elementary particles and fields

Citation Formats

Rinaldi, Enrico, Berkowitz, Evan, Hanada, Masanori, Maltz, Jonathan, and Vranas, Pavlos. Toward holographic reconstruction of bulk geometry from lattice simulations. United States: N. p., 2018. Web. doi:10.1007/JHEP02(2018)042.
Rinaldi, Enrico, Berkowitz, Evan, Hanada, Masanori, Maltz, Jonathan, & Vranas, Pavlos. Toward holographic reconstruction of bulk geometry from lattice simulations. United States. doi:10.1007/JHEP02(2018)042.
Rinaldi, Enrico, Berkowitz, Evan, Hanada, Masanori, Maltz, Jonathan, and Vranas, Pavlos. Wed . "Toward holographic reconstruction of bulk geometry from lattice simulations". United States. doi:10.1007/JHEP02(2018)042. https://www.osti.gov/servlets/purl/1493673.
@article{osti_1493673,
title = {Toward holographic reconstruction of bulk geometry from lattice simulations},
author = {Rinaldi, Enrico and Berkowitz, Evan and Hanada, Masanori and Maltz, Jonathan and Vranas, Pavlos},
abstractNote = {A black hole described in SU(N ) gauge theory consists of N D-branes. By separating one of the D-branes from others and studying the interaction between them, the black hole geometry can be probed. In order to obtain quantitative results, we employ the lattice Monte Carlo simulation. As a proof of the concept, we perform an explicit calculation in the matrix model dual to the black zero-brane in type IIA string theory. We demonstrate this method actually works in the high temperature region, where the stringy correction is large. We argue possible dual gravity interpretations.},
doi = {10.1007/JHEP02(2018)042},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

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