The Geometry of N=1 and N=2 Real Supersymmetric Non-Linear Sigma-Models in the Atiyah-Ward Space-Time

Carvalho, M.; Helayel-Neto, J. A.; de Oliveira, M. W.

The Geometry of N=1 and N=2 Real Supersymmetric Non-Linear Sigma-Models in the Atiyah-Ward Space-Time

Authors

Carvalho, M.

Helayel-Neto, J. A.

de Oliveira, M. W.

Description

We analyse the structure of N=1 and N=2 supersymmetric non-linear sigma-models built up with a pair of real superfields defined in the superspace of Atiyah-Ward space-time. The geometry arising has new features such as the existence of a locally product structure (N=1 case) and a set of automorphisms of the tangent space that is isomorphic to the split-quaternionic algebra (N=2 case).
12 pages, no figures