MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Lorentz covariance, higher-spin superspaces and self-duality

Chandrashekar Devchand and Jean Nuyts


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.


Related publications

1998 Repository Open Access
Chandrashekar Devchand and Jean Nuyts

Lorentz covariance, higher-spin superspaces and self-duality

In: Particles, fields, and gravitation / Jakub Rembielinski (ed.)
Woodbury, NY : American Institute of Physics, 1999. - pp. 317-323
(AIP conference proceedings ; 453)