Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-20
JHEP 0703:085,2007
Physics
High Energy Physics
High Energy Physics - Theory
21 pages,LaTeX,minor changes
Scientific paper
10.1088/1126-6708/2007/03/085
The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated in a near-horizon geometry. BPS black holes constitute special solutions of this variational principle, but they can also be derived directly from a different entropy function based on supersymmetry enhancement at the horizon. Both functions are consistent with electric/magnetic duality and for BPS black holes their corresponding OSV-type integrals give identical results at the semi-classical level. We clarify the relation between the two entropy functions and the corresponding attractor equations for N=2 supergravity theories with higher-derivative couplings in four space-time dimensions. We discuss how non-holomorphic corrections will modify these entropy functions.
Cardoso Granado L.
Mahapatra Swapna
Wit Bernard de
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