Are on-shell 3-string amplitudes the structure constants of the fake monster Lie algebra?

Dimensional Reduction of Dual Topological Theories

“…Some explicit solutions to the monopole equations on R 2 have been constructed in ref. [14] and the solutions turn out to be vortex configurations. They are singular, as are the analogous 3-d solutions given by Freund in ref.…”

“…Similarly, the unusuallooking condition ( 18) is nothing but one of the dimensionally reduced remnants of the 3-d monopole eqs. (14) and can be derived from the F 1µ part of the first of these equations together with ϕ 1 = 0. It is possible to take M to be a positive chirality spinor (σ 1 M = M ), but this is not in it self dictated by the dimensional reduction.…”