M. Carvalho et al., SUPERSYMMETRIC NONLINEAR SIGMA-MODELS AND THEIR GAUGING IN THE ATIYAH-WARD SPACE-TIME, Helvetica Physica Acta, 71(2), 1998, pp. 184-199
We present a supersymmetric non-linear sigma-model built up in the N =
1 superspace of Atiyah-Ward space-time. A manifold of the Kahler type
comes out that is restricted by a particular decomposition of the Kah
ler potential. The gauging of the sigma-model isometries is also accom
plished in superspace.