On the Phase Transition of Conformal Field Theories with Holographic Duals

Details On the Phase Transition of Conformal Field Theories with Holographic Duals On the Phase Transition of Conformal Field Theories with Holographic Duals

2001-07-27

arxiv.org/abs/hep-th/0107238v3

Phys.Lett.B522:139-144,2001

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, final version to appear on PLB

Scientific paper

10.1016/S0370-2693(01)01283-7

We study the thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk space-times. A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S^n x R with S^n having an arbitrary radius. The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented. The condensate in the high temperature phase is identified as being composed of radiational matter.

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