D=11 Supermembrane Instantons, W(infty) Strings and the Super Toda Molecule

dc.creatorCastro, Carlos
dc.date1994-12-19
dc.date.accessioned2026-07-07T04:20:55Z
dc.date.available2026-07-07T04:20:55Z
dc.descriptionExact 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 $SU(\infty)$ 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) $W_{\infty}$ 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.
dc.description16 pages; Latex file
dc.identifierhttps://arxiv.org/abs/hep-th/9412160
dc.identifierhttp://arxiv.org/abs/hep-th/9412160
dc.identifierChaos Solitons Fractals 7 (1996) 711-724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54119
dc.subjectHigh Energy Physics - Theory
dc.titleD=11 Supermembrane Instantons, W(infty) Strings and the Super Toda Molecule
dc.typetext

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