Type 0A matrix model of black hole, integrability and holography

Details Type 0A matrix model of black hole, integrability and holography Type 0A matrix model of black hole, integrability and holography

2004-10-30

arxiv.org/abs/hep-th/0411006v2

Phys.Rev. D71 (2005) 086002

Physics

High Energy Physics

High Energy Physics - Theory

23 pages; minor corrections and references added

Scientific paper

10.1103/PhysRevD.71.086002

We investigate a deformed matrix model of type 0A theory related to supersymmetric Witten's black hole in two-dimensions, generalization of bosonic model suggested by Kazakov et. al. We find a free field realization of the partition function of the matrix model, which includes Ramond-Ramond perturbations in the type 0A theory. In a simple case, the partition function is factorized into two determinants, which are given by $\tau$ function of an integrable system. We work out the genus expansion of the partition function. Holographic relation with the supersymmetric Witten's black hole is checked by Wilson line computation. Corresponding partition function of the matrix model exhibits a singular behavior, which is interpreted as the point of enhanced ${\cal N}=2$ worldsheet supersymmetry. Interesting relation of the deformed matrix model and topological string on a $Z_2$ orbifold of conifold is found.

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