SUPERSYMMETRIC YANG-MILLS EQUATIONS IN 10+2 DIMENSIONS

We present a model for supersymmetric Yang-Mills theory in 10+2 dimens ions. Our construction uses a constant null vector, and leads to a con sistent set of field equations and constraints. The model is invariant under generalized translations and an extra gauge transformation. Ord inary dimensional reduction to ten dimensions yields the, usual supers ymmetric Yang-Mills equations, while dimensional reduction to 2+2 yiel ds supersymmetric Yang-Mills equations in which the Poincare supersymm etry is reduced by a null vector. We also give the corresponding formu lation in superspace.