  We show that a recently found set of supersymmetric equations of motion for a
3-Lie algebra-valued (2,0) tensor multiplet finds a natural interpretation as
supersymmetric gauge field equations on loop space. We find that BPS solutions
to these equations yield a previously proposed nonabelian extension of the
selfdual string. We describe an ADHMN-like construction that allows for the
explicit construction of such BPS solutions.
