Implications of the SO(12) gauge symmetry for grand unification

Journal Article · Wed Apr 01 04:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.1649· OSTI ID:6615656

Rajpoot, S; Sithikong, P

Arguments following from analyzing constraints on the currently available neutral-current data are reviewed that allow for the possible existence of a neutral boson ''lighter'' than the one encountered in the standard SU(2)/sub L/ x U(1)/sub L/+R electroweak theory. An attractive possibility of accommodating this idea of a light boson in grand unified theories is to extend the popular SO(10) gauge symmetry to SO(12) gauge symmetry. It is explicitly shown that the 32-dimensional irreducible spinor representation of the SO(12) grand unified theory accommodates the electron family, which leads to the usual left-handed currents with strength G/sub F/, and a ''twin'' electron family which leads to right-handed currents also with strength G/sub F/, leaving no room for the muon (tau) family.

• Research Organization: Blackett Laboratory, Prince Consort Road, London, SW7 2BZ, England
• OSTI ID: 6615656
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 23:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645302* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
CHARGED-CURRENT INTERACTIONS
COUPLING CONSTANTS
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
NEUTRAL-CURRENT INTERACTIONS
P INVARIANCE
PARTICLE INTERACTIONS
PARTICLE MODELS
SO GROUPS
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
WEAK INTERACTIONS