Gauging N=2 Supersymmetric Non-Linear $σ$-Models in the Atiyah-Ward Space-Time

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, latex, no figures

Scientific paper

10.1103/PhysRevD.55.7574

We build up a class of N=2 supersymmetric non-linear $\sigma$-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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