Title: Localization and Large N reduction on S^3 for the Planar and M-theory limit Show Chinese title

Title: 平面和M理论极限下S^3上的局域化和大N约简

Abstract: We show a large N reduction on S^3 in a BPS sector for a broad class of theories : N>=2 supersymmetric Chern-Simons theory with any number of adjoint and bi-fundamental chiral multiplet. We show that the localization method can be applied to the reduced model and the path integral can be written by multi-contour integral. By taking particular localization configuration, we also show that the large N equivalence between the original theory on S^3 and the reduced model holds for the free energy and for the expectation value of BPS Wilson loops. It turns out that the large N reduction on $S^3$ holds even for the M-theory limit. Show Chinese abstract

Abstract: 我们展示了在BPS扇区中，对于一大类理论：具有任意数量的伴随和双基础复标量多重态的N≥2超对称Chern-Simons理论，在S^3上存在大的N约化。 我们证明了局部化方法可以应用于约化模型，路径积分可以写成多围道积分。 通过选取特定的局部化配置，我们还证明了在S^3上的原始理论与约化模型之间的大N等价性适用于自由能和BPS威尔逊环的期望值。 结果表明，即使在M理论极限下，$S^3$上的大N约化仍然成立。