IFUM-672-FT hep-th/0012214 Dualities in D = 5, N = 2 Supergravity, Black Hole Entropy, and AdS Central Charges 1

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 AdS2. 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 beAdS3×S, 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.