Thermodynamics of the N=2* flow

Details Thermodynamics of the N=2* flow Thermodynamics of the N=2* flow

2003-05-08

arxiv.org/abs/hep-th/0305064v1

JHEP 0311 (2003) 031

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, Latex, 3 figures

Scientific paper

10.1088/1126-6708/2003/11/031

We discuss the thermodynamics of the N=2*, SU(N) gauge theory at large 't Hooft coupling. The tool we use is the non-extremal deformation of the supergravity solution of Pilch and Warner (PW) [hep-th/0004063], dual to N=4, SU(N) gauge theory softly broken to N=2. We construct the exact non-extremal solution in five-dimensional gauged supergravity and further uplift it to ten dimensions. Turning to the thermodynamics, we analytically compute the leading correction in m/T to the free energy of the non-extremal D3 branes due to the PW mass deformation, and find that it is positive. We also demonstrate that the mass deformation of the non-extremal D3 brane geometry induces a temperature dependent gaugino condensate. We find that the standard procedure of extracting the N=2* gauge theory thermodynamic quantities from the dual supergravity leads to a violation of the first law of thermodynamics. We speculate on a possible resolution of this paradox.

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