Non-Linear Supersymmetric σ -Models and their Gauging in the Atiyah-Ward Space-Time

Abstract

We present a supersymmetric non-linear -model built up in the N=1 superspace of Atiyah-Ward space-time. A manifold of the K\"ahler type comes out that is restricted by a particular decomposition of the K\"ahler potential. The gauging of the -model isometries is also accomplished in superspace.

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