论文标题
二元性和弯曲$ s^3 $
Dualities and loops on squashed $S^3$
论文作者
论文摘要
我们考虑$ \ Mathcal {n} = 4 $ supersymmetric量规理论，并带有六个保留的增压。我们首先讨论Wilson和Vortex Loops如何保留多达四个增压，我们发现这些$ \ frac {2} {3} {3} $ -BPS循环的期望值挤压独立性。然后，我们展示了其他超对称性如何促进镜子双重理论中的分区函数和循环操作员的期望值的分析匹配，从而使人们可以取消以前在圆形球体上建立的所有结果。此外，在带有四个保留的增压的壁板上，我们在数值上评估了ABJM及其双重阳光的分区函数，该函数在量规组的低等级处。我们发现其分区函数的匹配值，促使我们猜测壁球上的一般平等。从数字中，我们还可以观察到Lee-Yang Zeros和非扰动校正对ABJM分区函数的全阶$ N $表达式的压扁依赖性。
We consider $\mathcal{N}=4$ supersymmetric gauge theories on the squashed three-sphere with six preserved supercharges. We first discuss how Wilson and vortex loops preserve up to four of the supercharges and we find squashing independence for the expectation values of these $\frac{2}{3}$-BPS loops. We then show how the additional supersymmetries facilitate the analytic matching of partition functions and loop operator expectation values to those in the mirror dual theory, allowing one to lift all the results that were previously established on the round sphere to the squashed sphere. Additionally, on the squashed sphere with four preserved supercharges, we numerically evaluate the partition functions of ABJM and its dual super-Yang-Mills at low ranks of the gauge group. We find matching values of their partition functions, prompting us to conjecture the general equality on the squashed sphere. From the numerics we also observe the squashing dependence of the Lee-Yang zeros and of the non-perturbative corrections to the all order large $N$ expression for the ABJM partition function.
