Large N reduction on group manifolds

TL;DR

This paper demonstrates that large N reduction principles apply to field theories on group manifolds, enabling their equivalence to matrix models and providing gauge-invariant regularization methods.

Contribution

It establishes the validity of large N reduction on group manifolds and introduces gauge-invariant regularization for theories like gauge theories on S^3.

Findings

Large N reduction holds on group manifolds.

Gauge theories on S^3 can be regularized gauge-invariantly.

Matrix models can represent field theories on these manifolds.

Abstract

We show that the large N reduction holds on group manifolds. Large N field theories defined on group manifolds are equivalent to some corresponding matrix models. For instance, gauge theories on S^3 can be regularized in a gauge invariant and SO(4) invariant manner.