论文标题
异常,黑弦和带电的Cardy配方
Anomalies, Black strings and the charged Cardy formula
论文作者
论文摘要
我们为一类二维CFT提供了一般的异常多项式,该类别是针对紧凑型歧管的高维理论的扭曲压缩,包括$ \ MATHCAL {M} _D $,包括$ \ natercal {m} _d $的均质贡献。然后,我们使用结果来执行微骨的计数,用于广告中充电和旋转的超对称黑色串,$ _5 \ times s^5 $和ads $ _7 \ times s^4 $带有地平线拓扑btz $ \ ltz $ \ ltimes s^2 $ and btz $ \ ltimes s^2 $ \ ltimes s^2 \ times s^2 \ times times times times times times times timed $σ_\ Mathfrak {G} $是Riemann表面。我们通过上升一类四维旋转黑洞来明确构建后者的解决方案。我们通过使用Cardy公式的带电版本对此类黑洞的熵提供了微观解释。
We derive the general anomaly polynomial for a class of two-dimensional CFTs arising as twisted compactifications of a higher-dimensional theory on compact manifolds $\mathcal{M}_d$, including the contribution of the isometries of $\mathcal{M}_d$. We then use the result to perform a counting of microstates for electrically charged and rotating supersymmetric black strings in AdS$_5\times S^5$ and AdS$_7\times S^4$ with horizon topology BTZ$ \ltimes S^2$ and BTZ$ \ltimes S^2 \times Σ_\mathfrak{g}$, respectively, where $Σ_\mathfrak{g}$ is a Riemann surface. We explicitly construct the latter class of solutions by uplifting a class of four-dimensional rotating black holes. We provide a microscopic explanation of the entropy of such black holes by using a charged version of the Cardy formula.