Gauging N=2 Supersymmetric Non-Linear $\sigma$-Models in the Atiyah-Ward Space-Time

Abstract

We build up a class of N=2 supersymmetric non-linear $\sigma$-models in an N=1 superspace based on the Atiyah-Ward space-time of (2+2)-signature metric. We also discuss the gauging of isometries of the associated hyper-Kählerian target spaces and present the resulting gauge-covariant supersymmetric action functional.

12 pages, latex, no figures

References in corpus (4)

• Gauge Dynamics And Compactification To Three Dimensions
• 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

Cited by in corpus (2)

• Static Vacuum Solutions on Curved Spacetimes with Torsion
• The 2+2-Signature and the 1+1-Matrix-Brane