Self-duality in Generalized Lorentz Superspaces

Abstract

We extend the notion of self-duality to spaces built from a set of representations of the Lorentz group with bosonic or fermionic behaviour, not having the traditional spin-one upper-bound of super Minkowski space. The generalized derivative vector fields on such superspaces are assumed to form a superalgebra. Introducing corresponding gauge potentials and hence covariant derivatives and curvatures, we define generalized self-duality as the Lorentz covariant vanishing of certain irreducible parts of the curvatures.

6 pages, Latex

References in corpus (1)

• Supersymmetric Lorentz-Covariant Hyperspaces and self-duality equations in dimensions greater than (4|4)

Cited by in corpus (4)

• Extended Self-Dual Yang-Mills from the N=2 String
• Lorentz covariance, higher-spin superspaces and self-duality
• Lorentz covariant spin two superspaces
• Democratic Supersymmetry