Anomalies, black strings and the charged Cardy formula
Seyed Hosseini (Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba, 277-8583, Japan); Kiril Hristov (Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Tsarigradsko Chaussee 72, Sofia, 1784, Bulgaria); Yuji Tachikawa (Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba, 277-8583, Japan); Alberto Zaffaroni (Dipartimento di Fisica, Università di Milano-Bicocca, Milano, I-20126, Italy, NFN, sezione di Milano-Bicocca, Milano, I-20126, Italy)
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 per- form a counting of microstates for electrically charged and rotating supersymmetric black strings in AdS5 × S 5 and AdS7 × S 4 with horizon topology BTZt⋉S 2 and BTZt⋉S 2 × $$ {\Sigma}_{\mathfrak{g}} $$ , 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.
