Self-duality in Generalized Lorentz Superspaces

Details Self-duality in Generalized Lorentz Superspaces Self-duality in Generalized Lorentz Superspaces

1996-12-17

arxiv.org/abs/hep-th/9612176v1

Phys.Lett. B404 (1997) 259-263

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex

Scientific paper

10.1016/S0370-2693(97)00571-6

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.

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