  We present an interacting system of equations with sixteen supersymmetries
and an $SO(2)\times SO(6)$ R-symmetry where the fields depend on two space and
one null dimensions that is derived from a representation of the
six-dimensional (2,0) superalgebra. The system can be viewed as two M5-branes
compactified on $S^1_-\times {\mathbb T}^2$ or equivalently as M2-branes on
${\mathbb R}_+\times {\mathbb R}^2$, where $\pm$ refer to null directions. We
show that for a particular choice of fields the dynamics can be reduced to
motion on the moduli space of solutions to the Hitchin system. We argue that
this provides a description of intersecting null M2-branes and is also related
by U-duality to a DLCQ description of four-dimensional maximally supersymmetric
Yang-Mills.
