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

Abstract

We analyse the structure of N=1 and N=2 supersymmetric non-linear σ-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… (More)

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