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The partition function of the supersymmetric two-dimensional black hole and little string theory

Dan Israel·Costas Kounnas·Ari Pakman·Jan Troost
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Abstract

We compute the partition function of the supersymmetric two-dimensional Euclidean black hole geometry described by the SL(2,R)/U(1) superconformal field theory. We decompose the result in terms of characters of the N=2 superconformal symmetry. We point out puzzling sectors of states besides finding expected discrete and continuous contributions to the partition function. By adding an N=2 minimal model factor of the correct central charge and projecting on integral N=2 charges we compute the partition function of the background dual to little string theory in a double scaling limit. We show the precise correspondence between this theory and the background for NS5-branes on a circle, due to an exact description of the background as a null gauging of SL(2,R) x SU(2). Finally, we discuss the interplay between GSO projection and target space geometry.

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Dan Israel, Costas Kounnas, Ari Pakman, Jan Troost. 2004-08-05. The partition function of the supersymmetric two-dimensional black hole and little string theory. https://doi.org/10.1088/1126-6708%2F2004%2F06%2F033

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