论文标题
拓扑扭曲指数的$ N $极限：直接方法
The large $N$ limit of topologically twisted indices: a direct approach
论文作者
论文摘要
我们研究了具有三维$ \ Mathcal {n} = 2 $量学理论的精致拓扑扭曲索引的较大$ n $限制，并具有全息二重奏，这与计算旋转，磁性充电和扭曲的广告和扭曲广告的微骨数量有关。作为先前计算的不同，我们对相关矩阵模型进行直接的鞍点分析。除其他外，我们明确地确定了大于$ n $的量规磁通量的分布。该索引与基于重力块的超级期望相一致，表现出较大的$ n $分解形式，并正确地复制了磁性充满电的旋转广告的熵$ _4 \ times s^7 $黑洞。
We study the large $N$ limit of the refined topologically twisted index of three-dimensional $\mathcal{N} = 2$ gauge theories with a holographic dual, which is relevant for counting the number of microstates of rotating, magnetically charged and twisted AdS$_4$ black holes. As a difference with previous computations, we perform a direct saddle point analysis of the relevant matrix model. Among other things we explicitly identify the distribution of gauge magnetic fluxes that contributes at large $N$. The index exhibits a large $N$ factorized form in agreement with the supergravity expectations based on gravitational blocks and correctly reproduces the entropy of magnetically charged rotating AdS$_4 \times S^7$ black holes.
