SELF-DUAL SUPERGRAVITY THEORIES IN 2+2 DIMENSIONS
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abstract
Starting from the new minimal multiplet of supergravity in 2 + 2 dimensions, we construct two types of self-dual supergravity theories. One of them involves a self-duality condition on the Riemann curvature and implies the equations of motion following from the Hilbert-Einstein type supergravity action. The other one involves a self-duality condition on a torsionful Riemann curvature with the torsion given by the field-strength of an antisymmetric tensor field, and implies the equations of motion that follow from an R2-type action. 1992.