Rotating multi-charge spindles and their microstates

TL;DR

This paper constructs and analyzes rotating, charged supersymmetric black strings in AdS$_5 imes S^5$ with spindle geometries, deriving their microstates via anomaly polynomials and a gluing procedure, advancing understanding of AdS/CFT microstate counting.

Contribution

It introduces a new class of rotating, charged black string solutions with spindle geometries and provides a novel method to count their microstates using anomaly polynomial gluing.

Findings

Explicit solutions for rotating, charged black strings with spindle geometries.

Derivation of the anomaly polynomial for the dual 2D $ ext{CFT}$ via a gluing method.

Microstate counting consistent with the charged Cardy formula.

Abstract

Some AdS$_3 \times M_7$ type IIB vacua have been recently proposed to arise from D3-branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly construct a generalization of these solutions corresponding to a class of electrically charged and rotating supersymmetric black strings in AdS$_5 \times S^5$ with general magnetic fluxes on the spindle. We then perform a counting of their microstates using the charged Cardy formula. To this purpose, we derive the general form of the anomaly polynomial of the dual $\mathcal{N} = (0 , 2)$ CFT in two dimensions and we show that it can be obtained via a simple gluing procedure.