2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53450Chiral/self-dual restrictions of various super Yang-Mills and supergravity theories in (2,2) dimensions are described. These include the N=1 supergravity with a cosmological term and the N=1 new minimal supergravity theory. In the latter case, a self-duality condition on a torsionful Riemann curvature is possible, and it implies the equations of motion that follow from an $R^2$ type supergravity action.11 pages, CTP-TAMU-85/92High Energy Physics - Theorytext