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arXiv · 1203.1016

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

Masazumi Honda·Yutaka Yoshida
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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.

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Masazumi Honda, Yutaka Yoshida. 2012-07-10. Localization and Large N reduction on S^3 for the Planar and M-theory limit. https://doi.org/10.1016/j.nuclphysb.2012.07.022

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