Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields

TL;DR

This paper establishes a non-perturbative equivalence between certain large N gauge theories with adjoint and bifundamental matter fields, using lattice regularization and loop equations, applicable in the strong coupling regime.

Contribution

It proves a non-perturbative equivalence between large N gauge theories and their orbifold projections via lattice methods and loop equations, extending the understanding of gauge theory dualities.

Findings

Equivalence holds in the strong coupling, large mass phase.

Loop equations match for expectation values and correlators.

Results apply to string tensions and particle spectra.

Abstract

We prove an equivalence, in the large N limit, between certain U(N) gauge theories containing adjoint representation matter fields and their orbifold projections. Lattice regularization is used to provide a non-perturbative definition of these theories; our proof applies in the strong coupling, large mass phase of the theories. Equivalence is demonstrated by constructing and comparing the loop equations for a parent theory and its orbifold projections. Loop equations for both expectation values of single-trace observables, and for connected correlators of such observables, are considered; hence the demonstrated non-perturbative equivalence applies to the large N limits of both string tensions and particle spectra.