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

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

2001-04-17

arxiv.org/abs/hep-th/0104141v1

Nucl.Phys. B620 (2002) 519-536

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1016/S0550-3213(01)00514-4

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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