论文标题
M2-branes和平面隔板
M2-branes and plane partitions
论文作者
论文摘要
在3D SCFT中受保护的本地运算符之间有一个对应关系，描述了几何$ \ Mathbb {C}^2 $由$ N $ M2-branes的堆栈和Trace $ n $的平面分区进行了探测。我们给出索引的组合表达式，这些索引计算本地运算符的参数化$ \ mathbb {c}^2/\ mathbb {z} _K $在规范和宏伟的规范合奏中，$ n $ m2-branes探测的是，就飞机分区的生成功能而言。我们在高温极限和大$ n $限制中得出了巨大潜力的渐近行为。
There is a correspondence between the protected local operators in the 3d SCFTs describing the geometry $\mathbb{C}^2$ probed by a stack of $N$ M2-branes and plane partitions of trace $N$. We give combinatorial expressions of the indices which count the local operators parametrizing $\mathbb{C}^2/\mathbb{Z}_k$ probed by $N$ M2-branes in the canonical and grand canonical ensembles in terms of generating functions for plane partitions. We derive the asymptotic behaviors of the grand potential in the high-temperature limit and the scaling dimension in the large $N$ limit.
