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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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JHEP class, 35 pages, no figures; v2: minor changes, typos corrected, published version

Scientific paper

10.1088/1126-6708/2004/06/033

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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