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

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

1997-04-05

arxiv.org/abs/hep-th/9704036v1

Nucl.Phys. B503 (1997) 627-656

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, latex

Scientific paper

10.1016/S0550-3213(97)00503-8

We generalise the notions of supersymmetry and superspace by allowing generators and coordinates transforming according to more general Lorentz representations than the spinorial and vectorial ones of standard lore. This yields novel SO(3,1)-covariant superspaces, which we call hyperspaces, having dimensionality greater than (4|4) of traditional super-Minkowski space. As an application, we consider gauge fields on complexifications of these superspaces; and extending the concept of self-duality, we obtain classes of completely solvable equations analogous to the four-dimensional self-duality equations.

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