N=4 Super Yang-Mills from the Plane Wave Matrix Model

TL;DR

This paper introduces a nonperturbative formulation of N=4 super Yang-Mills theory using the plane wave matrix model, preserving supersymmetry and gauge symmetry, and provides evidence of superconformal symmetry restoration.

Contribution

It presents a novel nonperturbative definition of N=4 SYM on RxS^3 via the plane wave matrix model, maintaining key symmetries.

Findings

1-loop calculations suggest superconformal symmetry is restored in the continuum limit.

The regularization preserves sixteen supersymmetries and gauge symmetry.

The approach offers a new way to study N=4 SYM nonperturbatively.

Abstract

We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix model. Our regularization preserves sixteen supersymmetries and the gauge symmetry. We perform the 1-loop calculation to give evidences that the superconformal symmetry is restored in the continuum limit.