Warm p-soup and near extremal black holes
Warm p-soup and near extremal black holes
We consider a model of D-dimensional supergravity coupled to elementary p-branes. We use gravitational arguments to deduce the low energy effective theory of N nearly parallel branes. This is a (p+1)-dimensional scalar field theory, where the scalars represent the positions of the branes in their transverse space. We propose that the same theory in a certain temperature regime describes a `soup' of strongly interacting branes, giving a microscopic description of near extremal black p-branes. We use natural approximations to estimate the energy density of this soup as a function of the physical parameters; N, temperature, brane tension and gravitational coupling. We also characterise the horizon radius, measured in the metric natural to the branes, with the thermal vev of the scalars. For both quantities we find agreement with the corresponding supergravity black brane results. Surprisingly, beyond the physical parameters, we are naturally able to reproduce certain irrational factors such as pi's. We comment on how these ideas may explain why black hole thermodynamics arises in gauge theories with holographic duals at finite temperature.
Supergravity, Black holes, Matrix models
1-23
Morita, Takeshi
8416f5d0-1375-4240-94a6-64e66ab69e07
Shiba, Shotaro
8e06b86b-b58a-4f5b-ba15-232d872b0761
Wiseman, Toby
9be56af7-0bf1-4108-a03d-ad82506d990b
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
21 March 2014
Morita, Takeshi
8416f5d0-1375-4240-94a6-64e66ab69e07
Shiba, Shotaro
8e06b86b-b58a-4f5b-ba15-232d872b0761
Wiseman, Toby
9be56af7-0bf1-4108-a03d-ad82506d990b
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Morita, Takeshi, Shiba, Shotaro, Wiseman, Toby and Withers, Benjamin
(2014)
Warm p-soup and near extremal black holes.
Classical and Quantum Gravity, 31 (8), .
(doi:10.1088/0264-9381/31/8/085001).
Abstract
We consider a model of D-dimensional supergravity coupled to elementary p-branes. We use gravitational arguments to deduce the low energy effective theory of N nearly parallel branes. This is a (p+1)-dimensional scalar field theory, where the scalars represent the positions of the branes in their transverse space. We propose that the same theory in a certain temperature regime describes a `soup' of strongly interacting branes, giving a microscopic description of near extremal black p-branes. We use natural approximations to estimate the energy density of this soup as a function of the physical parameters; N, temperature, brane tension and gravitational coupling. We also characterise the horizon radius, measured in the metric natural to the branes, with the thermal vev of the scalars. For both quantities we find agreement with the corresponding supergravity black brane results. Surprisingly, beyond the physical parameters, we are naturally able to reproduce certain irrational factors such as pi's. We comment on how these ideas may explain why black hole thermodynamics arises in gauge theories with holographic duals at finite temperature.
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Accepted/In Press date: 4 February 2014
Published date: 21 March 2014
Keywords:
Supergravity, Black holes, Matrix models
Identifiers
Local EPrints ID: 435824
URI: http://eprints.soton.ac.uk/id/eprint/435824
ISSN: 1361-6382
PURE UUID: b07730a1-1ccb-431e-a2a8-7a04149b2384
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Date deposited: 21 Nov 2019 17:30
Last modified: 17 Mar 2024 02:27
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Contributors
Author:
Takeshi Morita
Author:
Shotaro Shiba
Author:
Toby Wiseman
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