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Maths HEP Lunchtime Seminars: Supersymmetry, Localization and Quantum Entropy Function
Presented by Ipsita Mandal, MRI
11 June 2010 13:00 in CM221The AdS2/CFT1 correspondence leads to a prescription for computing the degeneracy of black hole states in terms of a path integral over string fields living on the near horizon geometry of the black hole. In this talk, I will discuss about how to make use of the enhanced supersymmetries of the near horizon geometry and localization techniques to argue that the path integral receives contribution only from a special class of string field configurations which are invariant under a subgroup of the supersymmetry transformations. I will identify saddle points which are invariant under this subgroup. I will also use this analysis to show that the integration over infinite number of zero modes generated by the asymptotic symmetries of AdS2 generate a finite contribution to the path integral.