Macroscopic Entropy of $N=2$ Extremal Black Holes

Details Macroscopic Entropy of $N=2$ Extremal Black Holes Macroscopic Entropy of $N=2$ Extremal Black Holes

1996-02-20

arxiv.org/abs/hep-th/9602111v3

Phys.Lett.B383:39-43,1996

Physics

High Energy Physics

High Energy Physics - Theory

Reference corrected, 8 pages, Latex

Scientific paper

10.1016/0370-2693(96)00711-3

Extremal BPS-saturated black holes in $N=2$, $d=4$ supergravity can carry electric and magnetic charges $(q^\Lambda_{(m)},q_\Lambda^{(e)})$. It is shown that in smooth cases the moduli fields at the horizon take a fixed "rational" value $X^\Lambda(q_{(m)},q^{(e)})$ which is determined by the charges and is independent of the asymptotic values of the moduli fields. A universal formula for the Bekenstein-Hawking entropy is derived in terms of the charges and the moduli space geometry at $X^\Lambda(q_{(m)},q^{(e)})$. This work extends previous results of Ferrara, Kallosh and the author for the pure magnetic case.

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