Rotating multi-charge spindles and their microstates

A bstract Some AdS 3 × 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 × 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 N = (0 , 2) CFT in two dimensions and we show that it can be obtained via a simple gluing procedure.