Self-Dual Supergravity Theories in 2+2 Dimensions

Details Self-Dual Supergravity Theories in 2+2 Dimensions Self-Dual Supergravity Theories in 2+2 Dimensions

1992-06-26

arxiv.org/abs/hep-th/9206101v1

Phys.Lett. B292 (1992) 87-92

Physics

High Energy Physics

High Energy Physics - Theory

11 pages (TEX), UG-4/92 and CTP TAMU-46/92

Scientific paper

10.1016/0370-2693(92)90612-8

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 {\it 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 $R^2$-type action.

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