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Title: Emergent 5-Dimensional Black Hole from Weakly Interacting 4-Dimensional Super Yang-Mills Gas

Abstract

We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N = 4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao 'information geometry'. In Yang-Mills theory, the information metric is measured by a novel class of gauge-invariant, nonlocal operators in the instanton sector. We show that the moduli space metric exhibits (1) asymptotically anti-de Sitter (2) horizon at radial distance set by the Yang-Mills temperature, and (3) after Wick rotation of the moduli space to the Lorentzian signature, a singularity at the origin. We argue that the dual geometry emerges even for rank of gauge groups of order unity and for weak 't Hooft coupling.

Authors:
 [1]
  1. School of Physics, Seoul National University, Seoul 151-747 (Korea, Republic of)
Publication Date:
OSTI Identifier:
20729153
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 805; Journal Issue: 1; Conference: PASCOS 2005: 11. international symposium on particles, strings, and cosmology, Gyeongju (Korea, Republic of), 30 May - 4 Jun 2005; Other Information: DOI: 10.1063/1.2149695; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; COUPLING; DE SITTER GROUP; DISTANCE; DUALITY; GAUGE INVARIANCE; GEOMETRY; QUANTUM FIELD THEORY; ROTATION; SINGULARITY; SPACE-TIME; STRING MODELS; SUPERSYMMETRY; YANG-MILLS THEORY

Citation Formats

Rey, Soo-Jong, and Center for Theoretical Physics, Seoul National University, Seoul 151-747. Emergent 5-Dimensional Black Hole from Weakly Interacting 4-Dimensional Super Yang-Mills Gas. United States: N. p., 2005. Web. doi:10.1063/1.2149695.
Rey, Soo-Jong, & Center for Theoretical Physics, Seoul National University, Seoul 151-747. Emergent 5-Dimensional Black Hole from Weakly Interacting 4-Dimensional Super Yang-Mills Gas. United States. https://doi.org/10.1063/1.2149695
Rey, Soo-Jong, and Center for Theoretical Physics, Seoul National University, Seoul 151-747. 2005. "Emergent 5-Dimensional Black Hole from Weakly Interacting 4-Dimensional Super Yang-Mills Gas". United States. https://doi.org/10.1063/1.2149695.
@article{osti_20729153,
title = {Emergent 5-Dimensional Black Hole from Weakly Interacting 4-Dimensional Super Yang-Mills Gas},
author = {Rey, Soo-Jong and Center for Theoretical Physics, Seoul National University, Seoul 151-747},
abstractNote = {We demonstrate five-dimensional anti-de Sitter black hole emerges as dual geometry holographic to weakly interacting N = 4 superconformal Yang-Mills theory. We first note that an ideal probe of the dual geometry is the Yang-Mills instanton, probing point by point in spacetime. We then study instanton moduli space at finite temperature by adopting Hitchin's proposal that geometry of the moduli space is definable by Fisher-Rao 'information geometry'. In Yang-Mills theory, the information metric is measured by a novel class of gauge-invariant, nonlocal operators in the instanton sector. We show that the moduli space metric exhibits (1) asymptotically anti-de Sitter (2) horizon at radial distance set by the Yang-Mills temperature, and (3) after Wick rotation of the moduli space to the Lorentzian signature, a singularity at the origin. We argue that the dual geometry emerges even for rank of gauge groups of order unity and for weak 't Hooft coupling.},
doi = {10.1063/1.2149695},
url = {https://www.osti.gov/biblio/20729153}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 805,
place = {United States},
year = {Fri Dec 02 00:00:00 EST 2005},
month = {Fri Dec 02 00:00:00 EST 2005}
}