A Comment on Curvature Effects In CFTs And The Cardy-Verlinde Formula

Details A Comment on Curvature Effects In CFTs And The Cardy-Verlinde Formula A Comment on Curvature Effects In CFTs And The Cardy-Verlinde Formula

2002-03-26

arxiv.org/abs/hep-th/0203244v1

Phys.Lett. B534 (2002) 167-171

Physics

High Energy Physics

High Energy Physics - Theory

8 Pages, To Appear in PLB

Scientific paper

10.1016/S0370-2693(02)01651-9

We examine the Cardy-Verlinde formula for finite temperature N=4 Super Yang-Mills theory on $R\times S^3$, and its AdS dual. We find that curvature effects introduce non-trivial corrections to thermodynamic quantities computed on both sides. We find a modified version of the Cardy-Verlinde formula for the SYM theory, incorporating these. On the gravity side, these corrections imply that the Cardy-Verlinde formula is exact.

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