On the supersymmetric effective action of Matrix theory

TL;DR

This paper derives a compact, supersymmetry-invariant form of the one-loop effective action in SU(2) Matrix theory, clarifying its exactness and lack of non-perturbative corrections.

Contribution

It provides a simple derivation and a compact exponential form of the supersymmetric one-loop effective action in SU(2) Matrix theory, highlighting its invariance and exactness.

Findings

The effective action is expressed in a compact exponential form.

Supersymmetry invariance of the effective action is explicitly demonstrated.

The one-loop leading v^4 interactions are exact with no non-perturbative corrections.

Abstract

We present a simple derivation of the supersymmetric one-loop effective action of SU(2) Matrix theory by expressing it in a compact exponential form whose invariance under supersymmetry transformations is obvious. This result clarifies the one-loop exactness of the leading v^4 interactions and the absence of non-perturbative corrections.