Chiral fermions in non-Riemannian Kaluza--Klein theory

Journal Article · Fri Mar 01 04:00:00 UTC 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526640· OSTI ID:6105636

Moffat, J W

The problem of obtaining left--right asymmetry of fermion quantum numbers in Kaluza--Klein theories is studied. A non-Riemannian Kaluza--Klein geometry, based on a nonsymmetric fundamental tensor g/sub SigmaLambda/, is shown to lead to zero modes of the Dirac operator and can possess a nonvanishing chirality index that permits a realistic description of fermions. Some specific models of unification and their group structures are considered.

• Research Organization: Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7
• OSTI ID: 6105636
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:3; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
CHIRALITY
COORDINATES
DIRAC OPERATORS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GEOMETRY
GRAVITATION
INVARIANCE PRINCIPLES
KALUZA-KLEIN THEORY
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MINKOWSKI SPACE
PARTICLE PROPERTIES
QUANTUM OPERATORS
SPACE
SPINORS
TENSORS
UNIFIED-FIELD THEORIES