1998/01/01 by Chandrashekar Devchand, J. Nuyts, Jean Nuyts · 5 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic and Geometric Analysis #Classical mechanics #Covariant transformation #Duality (order theory) #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Rank (graph theory) #Superspace #Supersymmetry #Tangent space #Theoretical physics #hep-th
paper · pdf · doi:10.1063/1.57133
published in AIP conference proceedings, 317-323 (American Institute of Physics) · 6 pages, latex file
openalex publication_date 1998/01/01 · arxiv created 1998/06/30 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
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) cavariant fashion. A further application is the construction of a hierarchy of solvable Lorentz covariant systems generalising four-dimensional self-duality.