旋转多荷电主轴及其微观状态
Rotating multi-charge spindles and their microstates
摘要:
一些AdS $_3 \times M_7$ IIB型真空最近被提出是由包裹在纺锤体上的D3-膜产生的,纺锤体是一个在极点处具有圆锥奇点的球体。我们明确地构建了一个概括的这些解决方案对应的一类带电和旋转的超对称黑弦在AdS $_5 \times S^5$一般磁通量的主轴。然后,我们使用带电的Cardy公式对它们的微观态进行计数。为了这个目的,我们推导出的一般形式的异常多项式的双重$\mathcal{N} = (0 , 2)$ CFT在两个维度,我们表明,它可以通过一个简单的胶合过程。
英文摘要:
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.
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