Anomalies, Black strings and the charged Cardy formula

Seyed Morteza Hosseini; Kiril Hristov; Yuji Tachikawa; Alberto Zaffaroni

doi:10.1007/JHEP09(2020)167

paper

Anomalies, Black strings and the charged Cardy formula

arXiv:2006.08629 · doi:10.1007/JHEP09(2020)167

Abstract

We derive the general anomaly polynomial for a class of two-dimensional CFTs arising as twisted compactifications of a higher-dimensional theory on compact manifolds $M_{d}$ , including the contribution of the isometries of $M_{d}$ . We then use the result to perform a counting of microstates for electrically charged and rotating supersymmetric black strings in AdS $_{5} \times S^{5}$ and AdS $_{7} \times S^{4}$ with horizon topology BTZ $⋉ S^{2}$ and BTZ $⋉ S^{2} \times Σ_{g}$ , respectively, where $Σ_{g}$ is a Riemann surface. We explicitly construct the latter class of solutions by uplifting a class of four-dimensional rotating black holes. We provide a microscopic explanation of the entropy of such black holes by using a charged version of the Cardy formula.

arXiv comment42 pages, 1 figure; v2: crucial references added; v3: typos corrected

Anomalies, Black strings and the charged Cardy formula

Abstract

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