1998/04/17 by Djordje Sijacki
Physics and Astronomy · #gr-qc #hep-th
published as Acta Phys.Polon. B29 (1998) 1089 · 10 pages, LaTeX2e, Workshop on "Gauge Theories of Gravitation" Jadwisin, Poland, 4-10 Sept. 1997
arxiv created 1998/04/17 · arxiv updated 2009/11/30
World spinors are objects that transform w.r.t. double covering group 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 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.