Large N reduction for Chern-Simons theory on S^3

TL;DR

This paper demonstrates a large N reduction technique for Chern-Simons theory on S^3 using a matrix model expanded around fuzzy sphere backgrounds, effectively reproducing the original theory in the planar limit.

Contribution

It introduces a novel large N reduction method for curved space, specifically for Chern-Simons theory on S^3, via a matrix model approach.

Findings

Matrix model reproduces Chern-Simons theory on S^3 in the planar limit.

Expansion around fuzzy spheres captures curved space effects.

Generalizes large N reduction to curved geometries.

Abstract

We study a matrix model which is obtained by dimensional reduction of Chern-Simon theory on S^3 to zero dimension. We find that expanded around a particular background consisting of multiple fuzzy spheres, it reproduces the original theory on S^3 in the planar limit. This is viewed as a new type of the large N reduction generalized to curved space.