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Universality and a generalized C-function in CFTs with AdS Duals

D. Klemm·A. C. Petkou·G. Siopsis·D. Zanon
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Abstract

We argue that the thermodynamics of conformal field theories with AdS duals exhibits a remarkable universality. At strong coupling, a Cardy-Verlinde entropy formula holds even when R-charges or bulk supergravity scalars are turned on. In such a setting, the Casimir entropy can be identified with a generalized C-function that changes monotonically with temperature as well as when non-trivial bulk scalar fields are introduced. We generalize the Cardy-Verlinde formula to cases where no subextensive part of the energy is present and further observe that such a formula is valid for the N=4 super Yang-Mills theory in D=4 even at weak coupling. Finally we show that a generalized Cardy-Verlinde formula holds for asymptotically flat black holes in any dimension.

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D. Klemm, A. C. Petkou, G. Siopsis, D. Zanon. 2001-04-17. Universality and a generalized C-function in CFTs with AdS Duals. https://doi.org/10.1016/s0550-3213(01)00514-4

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