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arXiv · hep-th/0506203

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

Pallab Basu·Spenta R. Wadia
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Abstract

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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Pallab Basu, Spenta R. Wadia. 2005-07-20. R-charged AdS_{5} black holes and large N unitary matrix models. https://doi.org/10.1103/physrevd.73.045022

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