R-charged AdS_{5} black holes and large N unitary matrix models

Details R-charged AdS_{5} black holes and large N unitary matrix models R-charged AdS_{5} black holes and large N unitary matrix models

2005-06-23

arxiv.org/abs/hep-th/0506203v2

Phys.Rev. D73 (2006) 045022

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 5 figures

Scientific paper

10.1103/PhysRevD.73.045022

Using the AdS/CFT, we establish a correspondence between the intricate thermal phases of R-charged AdS_{5} blackholes and the R-charge sector of the N=4 gauge theory, in the large N limit. Integrating out all fields in the gauge theory except the thermal Polyakov line, leads to an effective unitary matrix model. In the canonical ensemble, a logarithmic term is generated in the non-zero charge sector of the matrix model. This term is important to discuss various supergravity properties like i) the non-existence of thermal AdS as a solution, ii) the existence of a point of cusp catastrophe in the phase diagram and iii) the matching of saddle points and the critical exponents of supergravity and those of the effective matrix model.

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