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Macroscopic Entropy of $N=2$ Extremal Black Holes

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arxiv hep-th/9602111 v3 pith:BFHCO6HW submitted 1996-02-20 hep-th

Andrew Strominger This is my paper · ORCID
classification hep-th
keywords lambdachargesmoduliblackentropyextremalfieldsholes
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 7 Pith papers

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