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

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

1998-11-11

arxiv.org/abs/hep-th/9811103v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures

Scientific paper

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).

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