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

Abstract

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.

LATEX 13 pages, UMDEPP 94-127

Cited by in corpus (5)

• N=1 super-Chern-Simons coupled to parity-preserving matter from Atiyah-Ward space-time
• Renormalization of the N=1 Abelian Super-Chern-Simons Theory Coupled to Parity-Preserving Matter
• Aleph-Null Extended Supergravity and Chern-Simons Theories
• Noncommutative Self-Dual Supersymmetric Yang-Mills Theory
• Gauging N=2 Supersymmetric Non-Linear $\sigma$-Models in the Atiyah-Ward Space-Time