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We present an interacting system of equations with sixteen supersymmetriesand an $SO(2)\times SO(6)$ R-symmetry where the fields depend on two space andone null dimensions that is derived from a representation of thesix-dimensional (2,0) superalgebra. The system can be viewed as two M5-branescompactified 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. Weshow that for a particular choice of fields the dynamics can be reduced tomotion on the moduli space of solutions to the Hitchin system. We argue thatthis provides a description of intersecting null M2-branes and is also relatedby U-duality to a DLCQ description of four-dimensional maximally supersymmetricYang-Mills.

The (2,0) Superalgebra, Null M-branes and Hitchin's System