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Dualities in D=5, N=2 Supergravity, Black Hole Entropy, and AdS Central Charges

Dietmar Klemm
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Abstract

The issue of microstate counting for general black holes in D=5, N=2 supergravity coupled to vector multiplets is discussed from various viewpoints. The statistical entropy is computed for the near-extremal case by using the central charge appearing in the asymptotic symmetry algebra of AdS_2. Furthermore, we show that the considered supergravity theory enjoys a duality invariance which connects electrically charged black holes and magnetically charged black strings. The near-horizon geometry of the latter turns out to be AdS_3 x S^2, which allows a microscopic calculation of their entropy using the Brown-Henneaux central charges in Cardy's formula. In both approaches we find perfect agreement between statistical and thermodynamical entropy.

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Dietmar Klemm. 2000-12-21. Dualities in D=5, N=2 Supergravity, Black Hole Entropy, and AdS Central Charges. https://doi.org/10.1002/1521-3978(200105)49%3A4%2F6%3C581%3A%3Aaid-prop581%3E3.0.co%3B2-e

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