Anomalies, black strings and the charged Cardy formula

Abstract

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 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 × Σ g $$ {\Sigma}_{\mathfrak{g}} $$ , respectively, where Σ g $$ {\Sigma}_{\mathfrak{g}} $$ 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.

Keywords

• AdS-CFT Correspondence
• Anomalies in Field and String Theories
• Black Holes in String Theory
• Field Theories in Higher Dimensions