Thermodynamics of the N = 2* flow
Buchel, Alexander; Liu, James T.
2003-11-01
Citation
Buchel, Alex; Liu, James T. (2003). "Thermodynamics of the N = 2* flow." Journal of High Energy Physics. 11(031). <http://hdl.handle.net/2027.42/49141>
Abstract
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) [13], 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.Publisher
IOP Publishing Ltd
ISSN
1126-6708
Types
Article
Metadata
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