Thermodynamics of conformal field theories and cosmology

Details Thermodynamics of conformal field theories and cosmology Thermodynamics of conformal field theories and cosmology

2001-05-14

arxiv.org/abs/hep-th/0105131v1

Physics

High Energy Physics

High Energy Physics - Theory

Presented at PASCOS 2001, Chapel Hill, April 2001; 5 pages

Scientific paper

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of N=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from above. The corresponding bounds are less stringent than the recently proposed Verlinde bound. For strongly coupled CFTs with AdS duals, we show that the ratio obeys the Verlinde bound even in the presence of rotation. For such CFTs, we point out an intriguing resemblance in their thermodynamic formulas with the corresponding ones of two-dimensional CFTs. The discussion is based on hep-th/0101076.

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