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

Dan Israel , Costas Kounnas , Ari Pakman , Jan Troost (1)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Dan Israel, Costas Kounnas, Ari Pakman, Jan Troost. The partition function of the supersymmetric two-dimensional black hole and little string theory. Journal of High Energy Physics, 2004, 0406, pp.033. ⟨hal-00077953⟩