Universality and a generalized C-function in CFTs with AdS Duals
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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Cite
@article{arxiv.hep-th/0104141,
title = {Universality and a generalized C-function in CFTs with AdS Duals},
author = {D. Klemm and A. C. Petkou and G. Siopsis and D. Zanon},
journal= {arXiv preprint arXiv:hep-th/0104141},
year = {2009}
}
Comments
20 pages