论文标题
$ N $拓扑扭曲的指数，全息图和黑洞
Large $N$ Topologically Twisted Indices, Holography, and Black Holes
论文作者
论文摘要
我们为ABJM理论的拓扑扭曲索引提供了一个简单的封闭式表达式，这是磁通量和复杂的化学电位在固定$ k $中有效的复杂化学电位，以及$ 1/n $扩展中的所有订单。这反过来又导致了固定属的拓扑扭曲指数的分析表达式在$ 1/\sqrtλ$扩展中的所有订单中的“ thooft”限制。这些结果对全息图和超对称静态广告的微观熵计数具有重要意义。还简要讨论了对M2溴引起的其他SCFT的概括。
We present a simple closed form expression for the topologically twisted index of the ABJM theory as a function of the magnetic fluxes and complex chemical potentials valid at fixed $k$ and to all orders in the $1/N$ expansion. This in turn leads to analytic expressions for the topologically twisted index at fixed genus in the 't Hooft limit to all orders in the $1/\sqrtλ$ expansion. These results have important implications for holography and the microscopic entropy counting of supersymmetric static AdS$_4$ black holes. Generalizations to other SCFTs arising from M2-branes are also briefly discussed.
