Supersymmetry, Localization and Quantum Entropy Function

Details Supersymmetry, Localization and Quantum Entropy Function Supersymmetry, Localization and Quantum Entropy Function

2009-05-18

arxiv.org/abs/0905.2686v3

JHEP 1002:091,2010

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 31 pages; v2: minor correction; v3: typos corrected

Scientific paper

10.1007/JHEP02(2010)091

AdS_2/CFT_1 correspondence leads to a prescription for computing the degeneracy of black hole states in terms of path integral over string fields living on the near horizon geometry of the black hole. In this paper we 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. We identify saddle points which are invariant under this subgroup. We also use our analysis to show that the integration over infinite number of zero modes generated by the asymptotic symmetries of AdS_2 generate a finite contribution to the path integral.

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