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

Physics – High Energy Physics – High Energy Physics - Theory

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LaTeX, 9 pages, needs buckow.sty, contribution to the proceedings of the RTN-workshop "The Quantum Structure of Spacetime and

Scientific paper

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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