Randall-Sundrum model with a dilaton field at finite temperature

Journal Article · 25 March 2020 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.101.066023 · OSTI ID:1606281

Dhumuntarao, Aditya  ^[1]; Kapusta, Joseph I.  ^[1]; Plumberg, Christopher  ^[2]

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1. Univ. of Minnesota, Minneapolis, MN (United States)
2. Lund Univ. (Sweden)

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 $$S^1 × \mathbb{R}^3$$.

• Research Organization: Univ. of Minnesota, Minneapolis, MN (United States)
• Sponsoring Organization: USDOE Office of Science (SC); National Science Foundation (NSF)
• Grant/Contract Number: FG02-87ER40328; 00039202
• OSTI ID: 1606281
• Alternate ID(s): OSTI ID: 1800662
• Journal Information: Physical Review. D., Vol. 101, Issue 6; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English