Semisimple extensions of the Standard Model gauge algebra
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Publication Date
2021-08-01Journal Title
Physical Review D
ISSN
2470-0010
Publisher
American Physical Society (APS)
Volume
104
Issue
3
Number
035035
Pages
035035
Type
Article
This Version
VoR
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Allanach, B., Gripaios, B., & Tooby-Smith, J. (2021). Semisimple extensions of the Standard Model gauge algebra. Physical Review D, 104 (3. 035035), 035035. https://doi.org/10.1103/PhysRevD.104.035035
Abstract
We show how one may classify all semisimple algebras containing the su(3) su(2) u(1) symmetry of the Standard Model and acting on some given matter sector, enabling theories beyond the Standard Model with unification (partial or total) of symmetries (gauge or global) to be cataloged. With just a single generation of Standard Model fermions plus a singlet neutrino, the only gauge symmetries correspond to the well-known algebras su(5), so(10), and su(4) su(2) su(2), but with two or more generations a limited number of exotic symmetries mixing flavor, color, and electroweak degrees of freedom become possible. We provide a complete catalog in the case of three generations or fewer and outline how our method generalizes to cases with additional matter.
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
Science and Technology Facilities Council (ST/S505316/1)
STFC (ST/T000694/1)
Identifiers
External DOI: https://doi.org/10.1103/PhysRevD.104.035035
This record's URL: https://www.repository.cam.ac.uk/handle/1810/331768
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