Anti-de-Sitter black hole thermodynamics in higher derivative gravity and new confining-deconfining phases in dual CFT

被引:130
作者
Nojiri, S [1 ]
Odintsov, SD
机构
[1] Natl Def Acad, Dept Appl Phys, Yokosuka, Kanagawa 2398686, Japan
[2] Univ Guanajuato, Inst Fis, Leon 37150, Gto, Mexico
关键词
thermodynamics; higher derivative gravity; AdS BH; phase transitions; AdS/CFT correspondence;
D O I
10.1016/S0370-2693(01)01186-8
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The thermodynamics of d5 AdS BHs with positive, negative or zero curvature spatial section in higher derivative (HD) gravity is described. HID contribution to free energy may change its sign which leads to more complicated regime for Hawking-Page phase transitions. Some variant of d5 HD gravity is dual to N = 2 Sp(N) SCFT up to the next-to-leading order in large N. Then, according to Witten interpretation the stable AdS BH phase corresponds to deconfinement while global AdS phase corresponds to confinement. Unlike to Einstein gravity in ED theory the critical N appears. It may influence the phase transition structure. In particular, what was confining phase above the critical value becomes the deconfining phase below it and vice-versa. (C) 2001 Published by Elsevier Science B.V.
引用
收藏
页码:87 / 95
页数:9
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