Dualities in D=5, N=2 Supergravity, Black Hole Entropy, and AdS Central Charges
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.
Cite
@article{arxiv.hep-th/0012214,
title = {Dualities in D=5, N=2 Supergravity, Black Hole Entropy, and AdS Central Charges},
author = {Dietmar Klemm},
journal= {arXiv preprint arXiv:hep-th/0012214},
year = {2015}
}
Comments
LaTeX, 9 pages, needs buckow.sty, contribution to the proceedings of the RTN-workshop "The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions", Berlin, October 2000