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Clearing the throat: irrelevant operators and finite temperature in large N gauge theory

Clearing the throat: irrelevant operators and finite temperature in large N gauge theory
Clearing the throat: irrelevant operators and finite temperature in large N gauge theory
We study the addition of an irrelevant operator to the = 4 supersymmetric large-N SU(N) gauge theory, in the presence of finite temperature, T. In the supergravity dual, the effect of the operator is known to correspond to a deformation of the AdS5 × S5 "throat" which restores the asymptotic ten dimensional Minkowski region of spacetime, completing the full D3-brane solution. The system at non-zero T is interesting, since at the extremes of some of the geometrical parameters the geometry interpolates between a seven dimensional spherical minkowskian Schwarzschild black hole (times 3) and a five dimensional flat AdS Schwarzschild black hole (times S5). We observe that when the coupling of the operator reaches a critical value, the deconfined phase, which is represented by the geometry with horizon, disappears for all temperatures, returning the system to a confined phase which is represented by the thermalised extremal geometry.
black holes in string theory, brane dynamics in gauge theories, AdS-CFT and dS-CFT correspondence
002-018
Evans, N.J.
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Johnson, C.V.
f81d3bbb-5ca5-4125-b7d8-4fef484477e8
Petrini, M.
027ac9b0-81b5-4f1d-83d7-20a22a95710a
Evans, N.J.
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Johnson, C.V.
f81d3bbb-5ca5-4125-b7d8-4fef484477e8
Petrini, M.
027ac9b0-81b5-4f1d-83d7-20a22a95710a

Evans, N.J., Johnson, C.V. and Petrini, M. (2002) Clearing the throat: irrelevant operators and finite temperature in large N gauge theory. The Journal of High Energy Physics, 5, 002-018. (doi:10.1088/1126-6708/2002/05/002).

Record type: Article

Abstract

We study the addition of an irrelevant operator to the = 4 supersymmetric large-N SU(N) gauge theory, in the presence of finite temperature, T. In the supergravity dual, the effect of the operator is known to correspond to a deformation of the AdS5 × S5 "throat" which restores the asymptotic ten dimensional Minkowski region of spacetime, completing the full D3-brane solution. The system at non-zero T is interesting, since at the extremes of some of the geometrical parameters the geometry interpolates between a seven dimensional spherical minkowskian Schwarzschild black hole (times 3) and a five dimensional flat AdS Schwarzschild black hole (times S5). We observe that when the coupling of the operator reaches a critical value, the deconfined phase, which is represented by the geometry with horizon, disappears for all temperatures, returning the system to a confined phase which is represented by the thermalised extremal geometry.

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More information

Published date: 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: 57212
URI: https://eprints.soton.ac.uk/id/eprint/57212
PURE UUID: 25e75d4b-1e44-4dca-a4d8-99cd9eb4a20c

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

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