2012/08/30 by Rajesh Kumar Gupta, Sameer Murthy
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep02(2013)141
27 pages
arxiv created 2012/08/30 · arxiv updated 2015/06/11
We find the most general bosonic solution to the localization equations describing the contributions to the quantum entropy of supersymmetric black holes in four-dimensional N=2 supergravity coupled to nv vector multiplets. This requires the analysis of the BPS equations of the corresponding off-shell supergravity (including fluctuations of the auxiliary fields) with AdS2 × S2 attractor boundary conditions. Our work completes and extends the results of arXiv:1012.0265 that were obtained for the vector multiplet sector, to include the fluctuations of all the fields of the off-shell supergravity. We find that, when the auxiliary SU(2) gauge field strength vanishes, the most general supersymmetric configuration preserving four supercharges is labelled by nv+1 real parameters corresponding to the excitations of the conformal mode of the graviton and the scalars of the nv vector multiplets. In the general case, the localization manifold is labelled by an additional SU(2) triplet of one-forms and a scalar function.