Some AdS₃ × M₇ 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 AdS₅ × S⁵ 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.

最近有人提出一些 AdS ₃ × M ₇型 IIB 真空由包裹在纺锤上的 D3 膜产生，纺锤体是一个在两极具有锥形奇点的球体。我们明确地构建了这些解决方案的概括，对应于 AdS ₅ × S ^{5 中}一类带电和旋转的超对称黑色弦，在主轴上具有一般磁通量。然后我们使用带电的 Cardy 公式对它们的微观状态进行计数。为此，我们推导出了二维对偶\( \mathcal{N} \) = (0 , 2) CFT的异常多项式的一般形式，并表明它可以通过简单的粘合过程获得。