%0 Journal Article %T One-Loop Supergravity Corrections to the Black Hole Entropy and Residual Supersymmetry %A R. Kallosh %A J. Rahmfeld %A Wing Kai Wong %J Physics %D 1997 %I arXiv %R 10.1103/PhysRevD.57.1063 %X We study the one-loop corrections to the effective on-shell action of N=2 supergravity in the background of the Reissner-Nordstrom black hole. In the extreme case the contributions from graviton, gravitino and photon to the one-loop corrections to the entropy are shown to cancel. This gives the first explicit example of the supersymmetric non-renormalization theorem for the on-shell action (entropy) for BPS configurations which admit Killing spinors. We display the residual supersymmetry of the perturbations of a general supersymmetric theory in a bosonic BPS background. %U http://arxiv.org/abs/hep-th/9706048v1