Noncommutative supersymmetric Yang-Mills theory in ten dimensions with higher-derivative terms

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. The resulting action can be regarded as a supersymmetric generalization of the noncommutative non-Abelian Dirac-Born-Infeld action. Some ambiguities related to field redefinitions are also clarified.