Abstract
The spinor structure associated with the local gauge group GL(4,R) of the nonsymmetric gravitation theory (NGT) is based on a spinor wave equation constructed from a vierbein, a GL(4,R) spin connection, and the infinite-dimensional irreducible representations of the universal covering group 𝒮ℒ (4,R) of the noncompact group SL(4,R). The multiplicity-free irreducible representations of 𝒮ℒ (4,R) correspond to bivalued spinorial representations of SL(4,R) that contain an infinite number of half-odd integer spin particles. By adjoining the translations T4, the extended group 𝒜=T4×GL(4,R) replaces the Poincaré group 𝒫. The properties of the mass spectrum are obtained from an infinite-component wave equation and the physical spinor field consists of an infinite sum of finite, nonunitary representations of the Lorentz group.
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