Journal of High Energy Physics

, 2010:91

Supersymmetry, localization and quantum entropy function

  • Nabamita Banerjee
  • Shamik Banerjee
  • Rajesh Kumar Gupta
  • Ipsita Mandal
  • Ashoke Sen
Article

DOI: 10.1007/JHEP02(2010)091

Cite this article as:
Banerjee, N., Banerjee, S., Kumar Gupta, R. et al. J. High Energ. Phys. (2010) 2010: 91. doi:10.1007/JHEP02(2010)091

Abstract

AdS2/CFT1 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 AdS2 generate a finite contribution to the path integral.

Keywords

Black Holes in String TheoryExtended Supersymmetry

Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Nabamita Banerjee
    • 1
  • Shamik Banerjee
    • 1
  • Rajesh Kumar Gupta
    • 1
  • Ipsita Mandal
    • 1
  • Ashoke Sen
    • 1
  1. 1.Harish-Chandra Research InstituteAllahabadIndia