Duality, Central Charges and Entropy of Extremal BPS Black Holes

Details Duality, Central Charges and Entropy of Extremal BPS Black Holes Duality, Central Charges and Entropy of Extremal BPS Black Holes

1997-09-16

arxiv.org/abs/hep-th/9709113v1

Nucl.Phys.Proc.Suppl. 68 (1998) 185-196

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX; Talk given by S. Ferrara at the STRINGS'97 Conference, 16-21 June 1997, Amsterdam, The Netherlands

Scientific paper

10.1016/S0920-5632(98)00152-2

We report on some general results on the physics of extremal BPS black holes in four and five dimensions. The duality-invariant entropy-formula for all $N>2$ extended supergravities is derived. Its relation with the fixed-scalar condition for the black-hole ``potential energy'' wich extremizes the BPS mass is obtained. BPS black holes preserving different fractions of supersymmetry are classified in a U-duality invariant set up. The latter deals with different orbits of the fundamental representations of the exceptional groups $E_{7(7)}$ and $E_{6(6)}$. We comment upon the interpretation of these results in a string and M-theory framework.

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