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Phase transitions of CFTs with holographic duals
Author(s) -
Mück Wolfgang
Publication year - 2002
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200209)50:8/9<942::aid-prop942>3.0.co;2-v
Subject(s) - dual polyhedron , physics , anti de sitter space , conformal map , phase transition , schwarzschild radius , mathematical physics , conformal field theory , critical phenomena , theoretical physics , spacetime , quantum mechanics , mathematics , geometry
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 n ‐spheres with 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.