Non-Linear Supersymmetric $\sigma$-Models and their Gauging in the Atiyah-Ward Space-Time

M. Carvalho, L. C. Q. Vilar, J. A. Helayël-Neto

We present a supersymmetric non-linear $\s$-model built up in the $N=1$ superspace of Atiyah-Ward space-time. A manifold of the Kähler type comes out that is restricted by a partic…