Noncommutative Supersymmetric Yang-Mills Theory in Ten-Dimensions with Higher-Derivative Terms

TL;DR

This paper develops a ten-dimensional noncommutative supersymmetric Yang-Mills action, extends it with higher-derivative terms, and clarifies related ambiguities, contributing to the understanding of noncommutative gauge theories and their supersymmetric extensions.

Contribution

It introduces a supersymmetric noncommutative Yang-Mills action in ten dimensions with higher-derivative terms, generalizing the noncommutative Dirac-Born-Infeld action.

Findings

Confirmed supersymmetry invariance of the action

Added higher-derivative terms up to quartic order

Clarified ambiguities related to field redefinitions

Abstract

We present an action for noncommutative supersymmetric Yang-Mills theory in ten-dimensions, and confirm its invariance under supersymmetry. We next add higher-order derivative terms to such a noncommutative supersymmetric action. These terms contain fields as high as the quartic order. This resulting action can be regarded as supersymmetric generalization of noncommutative non-Abelian Dirac-Born-Infeld action. Some ambiguities related to field redefinitions are also clarified.