Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM

TL;DR

This paper develops large-N reduced models for supersymmetric quiver, Chern-Simons gauge theories, and ABJM, enabling numerical studies while preserving supersymmetry, based on Eguchi-Kawai equivalence.

Contribution

It introduces regularizations that maintain supersymmetry in large-N reduced models of complex gauge theories, facilitating computational analysis.

Findings

Constructed large-N reduced models of supersymmetric QCD with flavor.

Developed reduced models of the ABJM theory for multiple M2 branes.

Demonstrated preservation of supersymmetry in these models.

Abstract

Using the Eguchi-Kawai equivalence, we provide regularizations of supersymmetric quiver and Chern-Simons gauge theories which leave the supersymmetries unbroken. This allow us to study many interesting theories on a computer. As examples we construct large-$N$ reduced models of supersymmetric QCD with flavor and the ABJM model of multiple M2 branes.