Self-Dual Supergravity Theories in 2+2 Dimensions

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 {\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.

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

Cited by in corpus (13)

• Evidence for F-Theory
• Twistor Actions for Self-Dual Supergravities
• Self-Dual Supergravity and Twistor Theory
• N=2 Chiral Supergravity in (10 + 2)-Dimensions As Consistent Background for Super (2 + 2)-Brane
• Pseudo-Riemannian Jacobi-Videv Manifolds
• The Geometry of $N=2$ Strings with Torsion
• Einstein Supergravity and New Twistor String Theories
• Noncommutative Self-Dual Supersymmetric Yang-Mills Theory
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Examples of signature (2,2) manifolds with commuting curvature operators
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• The *Report
• Gauge supergravity in $D=2+2$