Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-12-29
J. Group Theor. Phys. 3 (1995) 89
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX 65k bytes, in press
Scientific paper
The possibilities of global (non-perturbative) gauge anomalies for a class of gauge groups are investigated. Intimately connected to branching rules and topological aspect of gauge groups, the results are applied to the study of unification gauge groups such as SO(10), SU(5), $E_6$, $E_8$ etc. Especially, we discuss extensively about the selection rule for generation numbers $N_f+N_{mf}=even\ge 4$ in SO(10) and supersymmetric SO(10) unification theories as originally proposed by the author$^1$, where $N_f$ and $N_{mf}$ denote the generation numbers for ordinary fermions and mirror fermions respectively. This is due to the global gauge anomalies from some subgroups of SO(10) in a fundamental spinor representation such that the ill-defined 'large' gauge transformations in the subgroup cannot be unwrapped in SO(10) in the quantum theory as we noted$^1$. A similar result related to left-right symmetric models is also given.
No associations
LandOfFree
Selection Rule for Generation Numbers and Gauge Anomalies for Unification Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Selection Rule for Generation Numbers and Gauge Anomalies for Unification Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Selection Rule for Generation Numbers and Gauge Anomalies for Unification Groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-221932