World Spinors Revisited
| dc.creator | Sijacki, Djordje | |
| dc.date | 1998-04-17 | |
| dc.date.accessioned | 2026-07-07T03:32:20Z | |
| dc.date.available | 2026-07-07T03:32:20Z | |
| dc.description | World spinors are objects that transform w.r.t. double covering group $\bar{Diff}(4,R)$ of the Group of General Coordinate Transformations. The basic mathematical results and the corresponding physical interpretation concerning these, infinite-dimensional, spinorial representations are reviewed. The role of groups $Diff(4,R)$, $GA(4,R)$, $GL(4,R)$, $SL(4,R)$, $SO(3,1)$ and the corresponding covering groups is pointed out. New results on the infinite dimensionality of spinorial representations, explicit construction of the $\bar{SL}(4,R)$ representations in the basis of finite-dimensional non-unitary $SL(2,C)$ representations, $SL(4,R)$ representation regrouping of tensorial and spinorial fields of an arbitrary spin lagrangian field theory, as well as its $SL(5,R)$ generalization in the case of infinite-component world spinor and tensor field theories are presented. | |
| dc.description | 10 pages, LaTeX2e, Workshop on "Gauge Theories of Gravitation" Jadwisin, Poland, 4-10 Sept. 1997 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9804038 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9804038 | |
| dc.identifier | Acta Phys.Polon. B29 (1998) 1089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36192 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | World Spinors Revisited | |
| dc.type | text |