The Schwarzschild-black string AdS soliton: Instability and holographic heat transport
The Schwarzschild-black string AdS soliton: Instability and holographic heat transport
We present a calculation of two-point correlation functions of the stress-energy tensor in the strongly-coupled, confining gauge theory which is holographically dual to the AdS soliton geometry. The fact that the AdS soliton smoothly caps off at a certain point along the holographic direction, ensures that these correlators are dominated by quasinormal mode contributions and thus show an exponential decay in position space. In order to study such a field theory on a curved spacetime, we foliate the six-dimensional AdS soliton with a Schwarzschild black hole. Via gauge/gravity duality, this new geometry describes a confining field theory with supersymmetry breaking boundary conditions on a non-dynamical Schwarzschild black hole background. We also calculate stress-energy correlators for this setting, thus demonstrating exponentially damped heat transport. This analysis is valid in the confined phase. We model a deconfinement transition by explicitly demonstrating a classical instability of Gregory-Laflamme-type of this bulk spacetime.
hep-th, gr-qc
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
1 February 2013
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Haehl, Felix M.
(2013)
The Schwarzschild-black string AdS soliton: Instability and holographic heat transport.
Classical and Quantum Gravity, 30, [055002].
(doi:10.1088/0264-9381/30/5/055002).
Abstract
We present a calculation of two-point correlation functions of the stress-energy tensor in the strongly-coupled, confining gauge theory which is holographically dual to the AdS soliton geometry. The fact that the AdS soliton smoothly caps off at a certain point along the holographic direction, ensures that these correlators are dominated by quasinormal mode contributions and thus show an exponential decay in position space. In order to study such a field theory on a curved spacetime, we foliate the six-dimensional AdS soliton with a Schwarzschild black hole. Via gauge/gravity duality, this new geometry describes a confining field theory with supersymmetry breaking boundary conditions on a non-dynamical Schwarzschild black hole background. We also calculate stress-energy correlators for this setting, thus demonstrating exponentially damped heat transport. This analysis is valid in the confined phase. We model a deconfinement transition by explicitly demonstrating a classical instability of Gregory-Laflamme-type of this bulk spacetime.
More information
Submitted date: 21 October 2012
Published date: 1 February 2013
Additional Information:
26 pages, 3 figures
Keywords:
hep-th, gr-qc
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Local EPrints ID: 471662
URI: http://eprints.soton.ac.uk/id/eprint/471662
PURE UUID: 6a883b24-b37c-42b2-9a8a-8e813682a0ca
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Date deposited: 16 Nov 2022 17:30
Last modified: 17 Mar 2024 04:14
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Author:
Felix M. Haehl
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