1994/12/19 by Carlos Castro
Physics and Astronomy · #hep-th
published as Chaos Solitons Fractals 7 (1996) 711-724 · 16 pages; Latex file
arxiv created 1994/12/19 · arxiv updated 2009/11/30
Exact instanton solutions to D=11 spherical supermembranes moving in flat target spacetime backgrounds are construted. Our starting point is Super Yang-Mills theories, based on the infinite dimensional SU(∞) group, dimensionally reduced to one time dimension. In this fashion the super-Toda molecule equation is recovered preserving only one supersymmetry out of the N=16 that one would have obtained otherwise. It is conjectured that the expected critical target spacetime dimensions for the (super) membrane, (D=11) D=27 is closely related to that of the noncritical (super) W∞ strings. A BRST analysis of these symmetries should yield information about the quantum consistency of the (D=11) D=27 dimensional (super) membrane. Comments on the role that Skyrmions might play in the two types of Spinning- Membrane actions construted so far is presented at the conclusion. Finally, the importance that integrability on light-lines in complex superspaces has in other types of solutions is emphasized.