Rotating multi-charge spindles and their microstates

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