Anomalies, black strings and the charged Cardy formula

DOI10.1007/JHEP09(2020)167zbMATH Open1454.83136arXiv2006.08629MaRDI QIDQ1995181

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Publication date: 18 February 2021

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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 $mathcal{M}_d$, including the contribution of the isometries of $mathcal{M}_d$. We then use the result to perform a counting of microstates for electrically charged and rotating supersymmetric black strings in AdS${}_{5}imes{S}^5$ and AdS${}_{7}imes{S}^4$ with horizon topology BTZ$ltimes{S}^2$ and BTZ$ltimes{S}^{2}imesSigm{a}_{m}athfrakg$, respectively, where $Sigm{a}_{m}athfrakg$ 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.

Full work available at URL: https://arxiv.org/abs/2006.08629

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