Lorentz covariance, higher-spin superspaces and self-duality
Chandrashekar Devchand and Jean Nuyts
Contact the author: Please use for correspondence this email.
Submission date: 03. Jul. 1998
published in: Particles, fields, and gravitation / J. Rembielinski (ed.)
Woodbury, NY : American Institute of Physics, 1999. - P. 317 - 323
(AIP conference proceedings ; 453)
DOI number (of the published article): 10.1063/1.57133
Download full preprint: PDF (276 kB), PS ziped (144 kB)
Lorentz covariant generalisations of the notions of supersymmetry, superspace and self-duality are discussed. The essential idea is to extend standard constructions by allowing tangent vectors and coordinates which transform according to more general Lorentz representations than solely the spinorial and vectorial ones of standard lore. Such superspaces provide model configuration spaces for theories of arbitrary spin fields. Our framework is an elegant one for handling higher-dimensional theories in a manifestly SO(3,1) covariant fashion. A further application is the construction of a hierarchy of solvable Lorentz covariant systems generalising four-dimensional self-duality.