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

M. Carvalho, M. W. de Oliveira

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 i…