WORLD SPINORS - CONSTRUCTION AND SOME APPLICATIONS

The existence of a topological double-covering for the GL(n, R) and di ffeomorphism groups is reviewed. These groups do not have finite-dimen sional faithful representations. An explicit construction and the clas sification of all <(SL)over bar>(n, R), n = 3, 4 unitary irreducible r epresentations is presented. Infinite-component spinorial and tensoria l <(SL)over bar>(4, R) fields, ''manifields,'' are introduced. Particl e content of the ladder manifields, as given by the <(SL)over bar>(3, R) ''little'' group, is determined. The manifields are lifted to the c orresponding world spinorial and tensorial manifields by making use of generalized infinite-component frame fields. World manifields transfo rm w.r.t. corresponding <(Diff)over bar>(4, R) representations, which are constructed explicitly.