2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54284We present a supersymmetric non-linear $\s$-model built up in the $N=1$ superspace of Atiyah-Ward space-time. A manifold of the Kähler type comes out that is restricted by a particular decomposition of the Kähler potential. The gauging of the $\s$-model isometries is also accomplished in superspace.15 pages, Latex, no figuresHigh Energy Physics - Theorytext