Gauging N=2 Supersymmetric Non-Linear σ-Models in the Atiyah-Ward Space-Time
Abstract
We build up a class of N=2 supersymmetric non-linear σ-models in an N=1 superspace based on the Atiyah-Ward space-time of (2+2)-signature metric. We also discuss the gauging of isometries of the associated hyper-K\"ahlerian target spaces and present the resulting gauge-covariant supersymmetric action functional.
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