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Entropy of Black Holes in D=5, N=2 Supergravity and AdS Central Charges

S. Cacciatori·D. Klemm·W. A. Sabra·D. Zanon
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Abstract

We consider general black holes in D=5, N=2 supergravity coupled to vector multiplets, and discuss the issue of microstate counting from various viewpoints. The statistical entropy is computed for the near-extremal case using the central charge of the $AdS_2$ factor appearing in the near-horizon geometry. Furthermore, we explicitly construct the duality transformation connecting electrically charged black holes to magnetically charged black strings, under which the $AdS_2 \times S^3$ near horizon geometry becomes $AdS_3 \times S^2$. For $AdS_3$ the counting of microstates correctly reproduces the Bekenstein-Hawking entropy, thus resolving the discrepancy previously found for $AdS_2$.

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S. Cacciatori, D. Klemm, W. A. Sabra, D. Zanon. 2000-05-02. Entropy of Black Holes in D=5, N=2 Supergravity and AdS Central Charges. https://doi.org/10.1016/s0550-3213(00)00461-2

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