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N = 4 super Yang Mills at finite density: The naked truth

N = 4 super Yang Mills at finite density: The naked truth
N = 4 super Yang Mills at finite density: The naked truth
We study = 4 super Yang Mills theory at finite U(1)R charge density (and temperature) using the AdS/CFT Correspondence. The ten dimensional backgrounds around spinning D3 brane configurations split into two classes of solution. One class describe spinning black branes and have previously been extensively studied, and interpreted, in a thermodynamic context, as the deconfined high density phase of the dual field theory. The other class have naked singularities and in the supersymmetric limit are known to correspond to multi-centre solutions describing the field theory in the Coulomb phase. We provide evidence that the non-supersymmetric members of this class represent naked, spinning D-brane distributions describing the Coulomb branch at finite density. At a critical density a phase transition occurs to a spinning black brane representing the deconfined phase where the Higgs vevs have evaporated. We perform a free energy calculation to determine the phase diagram of the Coulomb branch at finite temperature and density.
black holes in string theory, brane dynamics in gauge theories, AdS-CFT and dS-CFT correspondence
1-12
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Hockings, James
b593bde6-d99a-401d-bdaf-28cb68cd718a
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Hockings, James
b593bde6-d99a-401d-bdaf-28cb68cd718a

Evans, Nick and Hockings, James (2002) N = 4 super Yang Mills at finite density: The naked truth. The Journal of High Energy Physics, JHEP07 (70), 1-12. (doi:10.1088/1126-6708/2002/07/070).

Record type: Article

Abstract

We study = 4 super Yang Mills theory at finite U(1)R charge density (and temperature) using the AdS/CFT Correspondence. The ten dimensional backgrounds around spinning D3 brane configurations split into two classes of solution. One class describe spinning black branes and have previously been extensively studied, and interpreted, in a thermodynamic context, as the deconfined high density phase of the dual field theory. The other class have naked singularities and in the supersymmetric limit are known to correspond to multi-centre solutions describing the field theory in the Coulomb phase. We provide evidence that the non-supersymmetric members of this class represent naked, spinning D-brane distributions describing the Coulomb branch at finite density. At a critical density a phase transition occurs to a spinning black brane representing the deconfined phase where the Higgs vevs have evaporated. We perform a free energy calculation to determine the phase diagram of the Coulomb branch at finite temperature and density.

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More information

Published date: July 2002
Keywords: black holes in string theory, brane dynamics in gauge theories, AdS-CFT and dS-CFT correspondence

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Local EPrints ID: 57211
URI: https://eprints.soton.ac.uk/id/eprint/57211
PURE UUID: aded87f1-e5a2-4e06-b8f8-1a541a0d4202

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Date deposited: 14 Aug 2008
Last modified: 13 Mar 2019 20:34

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