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arXiv · hep-th/9907188

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

C. P. Burgess·N. R. Constable·R. C. Myers
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Abstract

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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C. P. Burgess, N. R. Constable, R. C. Myers. 1999-07-29. The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence. https://doi.org/10.1088/1126-6708%2F1999%2F08%2F017

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