1203.1016 (Masazumi Honda et al.)

Localization and Large N reduction on S^3 for the Planar and M-theory
limit    [PDF]

Masazumi Honda, Yutaka Yoshida

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.

View original: http://arxiv.org/abs/1203.1016