E/sub 8/ generators as bilinear fermions and its maximal subgroups

Journal Article · Sat Nov 14 23:00:00 EST 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.2645· OSTI ID:5943716

Koca, M

E/sub 8/ algebra constructed as bilinear fermions in the bases of SU(9) and (SU(3))/sup 4/ is used to obtain the generators in the bases of the maximal subgroups SO(16), E/sub 7/ x SU(2), and SU(5) x SU(5). The representation of the generators in the Tits subgroup F/sub 4/ x G/sub 2/ is also obtained using the (SU(3))/sup 4/ basis. Simple methods are developed to go from one basis to the other bases. Generators of the exceptional subgroups E/sub 7/, E/sub 6/, and F/sub 4/ are decomposed with respect to their respective Tits subgroups SP(6) x G/sub 2/, SU(3) x G/sub 2/, and SO(3) x G/sub 2/. The possible roles of these subgroups in the symmetry breaking of E/sub 8/ are merely indicated.

• Research Organization: Department of Theoretical Physics, University of Bielefeld, Germany
• OSTI ID: 5943716
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 24:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
FERMIONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SO GROUPS
SPACE-TIME
SPINORS
SU GROUPS
SU-3 GROUPS
SU-4 GROUPS
SU-5 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS