N=1 super-Chern-Simons coupled to parity-preserving matter from Atiyah-Ward space-time

Abstract

In this letter, we present the Parkes-Siegel formulation for the massive Abelian $N$$=$$1$ super-{\QED} coupled to a self-dual supermultiplet, by introducing a chiral multiplier superfield. We show that after carrying out a suitable dimensional reduction from ($2$$+$$2$) to ($1$$+$$2$) dimensions, and performing some necessary truncations, the simple supersymmetric extension of the ${\tau }_3$QED${}_{1+2}$ coupled to a Chern-Simons term naturally comes out.

7 pages, latex, no figures

References in corpus (6)

• Self-Dual N=8 Supergravity as Closed N=2(4) Strings
• A cubic action for self-dual Yang-Mills
• Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
• Extended Supersymmetry and Self-Duality in 2+2 Dimensions
• N=1 Super-${\tau }_3$QED from Atiyah-Ward Space-Time
• $N=2$~ Superstring Theory Generates Supersymmetric Chern-Simons Theories

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• N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Renormalization of the N=1 Abelian Super-Chern-Simons Theory Coupled to Parity-Preserving Matter
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Dirac equation in (1+3) and (2+2) dimensions
• The 2+2-Signature and the 1+1-Matrix-Brane