  Starting from maximally supersymmetric (2+1)d Yang-Mills theory and using a
duality transformation due to de Wit, Nicolai and Samtleben, we obtain the
ghost-free Lorentzian 3-algebra theory that has recently been proposed to
describe M2-branes. Our derivation does not invoke any properties of
3-algebras. Being derivable from SYM, the final theory is manifestly equivalent
to it on-shell and should not be thought of as the IR limit that describes
M2-branes, though it does have enhanced R-symmetry as well as superconformal
symmetry off-shell.
