The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence

Details The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence

1999-07-26

arxiv.org/abs/hep-th/9907188v2

JHEP 9908:017,1999

Physics

High Energy Physics

High Energy Physics - Theory

26 pages.Minor corrections to eqs.(19),(21). Results and conclusions unchanged. References added

Scientific paper

10.1088/1126-6708/1999/08/017

We compute the high-temperature limit of the free energy for four-dimensional N=4 supersymmetric SU(N_c) Yang-Mills theory. At weak coupling we do so for a general ultrastatic background spacetime, and in the presence of slowly-varying background gauge fields. Using Maldacena's conjectured duality, we calculate the strong-coupling large-N_c expression for the special case that the three-space has constant curvature. We compare the two results paying particular attention to curvature corrections to the leading order expressions.

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