Abstract
The (m+n)-dimensional flat superspace is considered and graded linear groups with their graded algebra are calculated. The (4+4)-dimensional graded de Sitter space-time is discussed geometrically by its embedding in the (5+4)-dimensional flat superspace, and its isometry subgroupOSp¼ is calculated. We have used the isomorphism between the algebra ofSp4,R andSO3,2 to express the generatorsSab ofSO3,2 in terms of the generatorshαβ of the symplectic groupSp4,R, then it is easy to obtain the graded de Sitter algebra from the orthosymplectic algebraOSp¼. Finally, by contraction we obtain the graded Poincare algebra, that is the superalgebra with which we are familiar.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
