$~N=2$~ Superstring Theory Generates Supersymmetric Chern-Simons Theories

Details $~N=2$~ Superstring Theory Generates Supersymmetric Chern-Simons Theories $~N=2$~ Superstring Theory Generates Supersymmetric Chern-Simons Theories

1994-04-20

arxiv.org/abs/hep-th/9404125v1

Mod.Phys.Lett. A9 (1994) 3255-3266

Physics

High Energy Physics

High Energy Physics - Theory

LATEX 13 pages, UMDEPP 94-127

Scientific paper

Abstrct: We show that the action of self-dual supersymmetric Yang-Mills theory in four-dimensions, which describes the consistent massless background fields for $~N=2$~ superstring, generates the actions for $~N=1$~ and $~N=2$~ supersymmetric non-Abelian Chern-Simons theories in three-dimensions after appropriate dimensional reductions. Since the latters play important roles for supersymmetric integrable models, this result indicates the fundamental significance of the $~N=2$~ superstring theory controlling (possibly all) supersymmetric integrable models in lower-dimensions.

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