Anomalies, Black strings and the charged Cardy formula

Kavli Affiliate: Yuji Tachikawa

| First 5 Authors: Seyed Morteza Hosseini, Kiril Hristov, Yuji Tachikawa, Alberto Zaffaroni,

| Summary:

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$_5times S^5$ and AdS$_7times S^4$ with horizon topology BTZ$ ltimes S^2$
and BTZ$ ltimes S^2 times Sigma_mathfrak{g}$, respectively, where
$Sigma_mathfrak{g}$ 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.

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