Finite temperature effective action, AdS5 black holes, and 1/N expansion -: art. no. 124023

被引:93
作者
Alvarez-Gaume, L [1 ]
Gomez, C
Liu, H
Wadia, SR
机构
[1] CERN, Dept Phys, Div Theory, CH-1211 Geneva, Switzerland
[2] Univ Autonoma Madrid, Inst Fis Teor, E-28049 Madrid, Spain
[3] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[4] Tata Inst Fundamental Res, Dept Theoret Phys, Bombay 400005, Maharashtra, India
关键词
D O I
10.1103/PhysRevD.71.124023
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose a phenomenological matrix model to study string theory in AdS(5) x S-5 in the canonical ensemble. The model reproduces all the known qualitative features of the theory. In particular, it gives a simple effective potential description of Euclidean black hole nucleation and the tunneling between thermal anti-de Sitter (AdS) and the big black hole. It also has some interesting predictions. We find that there exists a critical temperature at which the Euclidean small black hole undergoes a Gross-Witten phase transition. We identify the phase transition with the Horowitz-Polchinski point where the black hole horizon size becomes comparable to the string scale. The appearance of the Hagedorn divergence of thermal AdS is due to the merger of saddle points corresponding to the Euclidean small black hole and thermal AdS. The merger can be described in terms of a cusp (A(3)) catastrophe and divergences at the perturbative string level are smoothed out at finite string coupling using standard techniques of catastrophe theory.
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页数:18
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