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

2002

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, .
(doi:10.1088/1126-6708/2002/05/002).

## 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

## Identifiers

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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## Contributors

Author:
C.V. Johnson

Author:
M. Petrini

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