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Title: Randall-Sundrum model with a dilaton field at finite temperature

Abstract

We find exact finite temperature solutions to $$\textit{d} = 5$$ Einstein-dilaton gravity with black branes and a Randall-Sundrum 3-brane. We show that there exists a unique generating superpotential for these models. The location of the black brane and the associated Hawking temperature depend on the value of the 3-brane tension, while other parameters are held fixed. The thermodynamics of these solutions are presented, from which we show that the entropy satisfies $$S < \text{Vol}(\mathbb{R}^3)/4G_5$$. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to $$\mathcal{N} = 4$$ Super Yang-Mills at finite temperature on $$S^1 × \mathbb{R}^3$$.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1606281
Alternate Identifier(s):
OSTI ID: 1800662
Grant/Contract Number:  
FG02-87ER40328; 00039202
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats

Dhumuntarao, Aditya, Kapusta, Joseph I., and Plumberg, Christopher. Randall-Sundrum model with a dilaton field at finite temperature. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.066023.
Dhumuntarao, Aditya, Kapusta, Joseph I., & Plumberg, Christopher. Randall-Sundrum model with a dilaton field at finite temperature. United States. https://doi.org/10.1103/PhysRevD.101.066023
Dhumuntarao, Aditya, Kapusta, Joseph I., and Plumberg, Christopher. Wed . "Randall-Sundrum model with a dilaton field at finite temperature". United States. https://doi.org/10.1103/PhysRevD.101.066023.
@article{osti_1606281,
title = {Randall-Sundrum model with a dilaton field at finite temperature},
author = {Dhumuntarao, Aditya and Kapusta, Joseph I. and Plumberg, Christopher},
abstractNote = {We find exact finite temperature solutions to $\textit{d} = 5$ Einstein-dilaton gravity with black branes and a Randall-Sundrum 3-brane. We show that there exists a unique generating superpotential for these models. The location of the black brane and the associated Hawking temperature depend on the value of the 3-brane tension, while other parameters are held fixed. The thermodynamics of these solutions are presented, from which we show that the entropy satisfies $S < \text{Vol}(\mathbb{R}^3)/4G_5$. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to $\mathcal{N} = 4$ Super Yang-Mills at finite temperature on $S^1 × \mathbb{R}^3$.},
doi = {10.1103/PhysRevD.101.066023},
journal = {Physical Review D},
number = 6,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}

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