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

Title: 三维球面上的平面极限和M理论极限的局域化与大N约减

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 multiplets.We show that a localization method can be applied to the reduced model and the path integral can be written by a multi-contour integral. By taking a 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 the expectation value of BPS Wilson loops. It turns out that the large N reduction on S^3 holds also for the M-theory limit. Show Chinese abstract

Abstract: 我们在一个BPS子sector中展示了S^3上的大N约化：对于一类广泛的理论，即具有任意数量的伴奏和双基金向量多态的N≥2超对称Chern-Simons理论。我们证明了定位方法可以应用于约简模型，并且路径积分可以通过一个多围道积分表示。 通过采取特定的定位配置，我们也表明了原始S^3理论和约简模型之间的大N等价性适用于自由能和BPS威尔逊环的期望值。 结果表明，M理论极限下S^3上的大N约化同样成立。