One-Loop Supergravity Corrections to the Black Hole Entropy and Residual Supersymmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 Pages, LaTex

Scientific paper

10.1103/PhysRevD.57.1063

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.

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