10 research outputs found
World Spinors - Construction and Some Applications
The existence of a topological double-covering for the and
diffeomorphism groups is reviewed. These groups do not have finite-dimensional
faithful representations. An explicit construction and the classification of
all , unitary irreducible representations is presented.
Infinite-component spinorial and tensorial fields,
"manifields", are introduced. Particle content of the ladder manifields, as
given by the "little" group is determined. The manifields are
lifted to the corresponding world spinorial and tensorial manifields by making
use of generalized infinite-component frame fields. World manifields transform
w.r.t. corresponding representations, that are constructed
explicitly.Comment: 19 pages, Te