Spinor fields and the GL(4,R) gauge structure in the nonsymmetric theory of gravitation

Journal Article · Fri Jul 01 00:00:00 EDT 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527914· OSTI ID:5154473

Moffat, J W

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 S-scriptL-script (4,R) of the noncompact group SL(4,R). The multiplicity-free irreducible representations of S-scriptL-script (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 T/sub 4/, the extended group A-script = T/sub 4/ x GL(4,R) replaces the Poincare group P-script. 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.

• Research Organization: Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
• OSTI ID: 5154473
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 29:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
GAUGE INVARIANCE
GRAVITATION
GROUP THEORY
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
LORENTZ GROUPS
MATHEMATICS
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
POINCARE GROUPS
SERIES EXPANSION
SPINOR FIELDS
SYMMETRY GROUPS
WAVE EQUATIONS