Large N reduction on coset spaces

TL;DR

This paper extends large N reduction techniques to coset spaces, demonstrating that field theories on these spaces can be represented by matrix models and constructing related Chern-Simons-like theories.

Contribution

It introduces a framework for large N reduction on coset spaces and develops corresponding matrix models and Chern-Simons-like theories, expanding previous work on group manifolds.

Findings

Large N field theories on coset spaces are described by matrix models.

Constructed Chern-Simons-like theories on group manifolds and coset spaces.

Provided reduced models for these theories.

Abstract

As an extension of our previous work concerning the large N reduction on group manifolds, we study the large N reduction on coset spaces. We show that large N field theories on coset spaces are described by certain corresponding matrix models. We also construct Chern-Simons-like theories on group manifolds and coset spaces, and give their reduced models.