Twistor-Like Approach to Supersymmetric Gauge Theories

Abstract

We consider the constraint conditions on the supersymmetric Yang-Mills theories in D=6, N=1, which are gauge- and super-covariant. These constraint conditions have been introduced to remove superfluous fields. We present a method to tell how and to what degree the constraint restricts the theory in the D=6, N=1 Abelian case by analogy with the twistor method for self-dual equations. The constraint is transformed into an infinite series of constraint equations. We find that a previously known theory in D=6, N=1 corresponds to a special case which is chosen so that the series is finite.