Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic Black Holes

Details Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic Black Holes Deformed Type 0A Matrix Model and Super-Liouville Theory for Fermionic Black Holes

2005-11-19

arxiv.org/abs/hep-th/0511195v1

JHEP0601:124,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figure

Scientific paper

10.1088/1126-6708/2006/01/124

We consider a ${\hat c}=1$ model in the fermionic black hole background. For this purpose we consider a model which contains both the N=1 and the N=2 super-Liouville interactions. We propose that this model is dual to a recently proposed type 0A matrix quantum mechanics model with vortex deformations. We support our conjecture by showing that non-perturbative corrections to the free energy computed by both the matrix model and the super-Liouville theories agree exactly by treating the N=2 interaction as a small perturbation. We also show that a two-point function on sphere calculated from the deformed type 0A matrix model is consistent with that of the N=2 super-Liouville theory when the N=1 interaction becomes small. This duality between the matrix model and super-Liouville theories leads to a conjecture for arbitrary $n$-point correlation functions of the N=1 super-Liouville theory on the sphere.

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