Construction of grand unified models under maximal subalgebras

Journal Article · Sun Jul 01 00:00:00 EDT 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90005-8· OSTI ID:6528448

De la Ossa, X C; De Teramond, G F

A construction of grand unified models of the strong, weak and electromagnetic interactions is described based on the transformation properties of the group generators under a maximal subgroup decomposition without recourse to large representation matrices or to the specific algebraic structures of some classical Lie-groups, such as the Clifford algebra associated with the orthogonal groups or the octonionic structure of the exceptional groups. To illustrate the procedure an explicit construction is given of the SU(5) model useful in the discussionn of higher rank groups, of SO(10) under the maximal subalgebras SU(2)/sub L/ x SU(2)/sub R/ x SU(4)/sub c/ and SU(5) x U(1)/sub r/ and of the exceptional group E/sub 6/ under SU(3)/sub L/ x SU(3)/sub R/ x SU(3)/sub c/ and SO(10) x U(1)/sub t/. The construction procedure can be used as well with any classical Lie-group.

• Research Organization: Department of Physics, University of Texas, Austin, Texas 78712
• OSTI ID: 6528448
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 155:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

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645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COMMUTATION RELATIONS
FIELD THEORIES
GRAND UNIFIED THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
QUANTUM NUMBERS
SO GROUPS
SO-10 GROUPS
SU GROUPS
SU-5 GROUPS
SYMMETRY GROUPS
TRANSFORMATIONS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES