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dc.contributor.authorFurey, Cen
dc.date.accessioned2018-12-01T00:30:30Z
dc.date.available2018-12-01T00:30:30Z
dc.date.issued2018-10-10en
dc.identifier.issn0370-2693
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/286191
dc.description.abstractA considerable amount of the standard model's three-generation structure can be realised from just the 8C-dimensional algebra of the complex octonions. Indeed, it is a little-known fact that the complex octonions can generate on their own a 64C-dimensional space. Here we identify an su(3) + u(1) action which splits this 64C-dimensional space into complexi ed generators of SU(3), together with 48 states. These 48 states exhibit the behaviour of exactly three generations of quarks and leptons under the standard model's two unbroken gauge symmetries. This article builds on a previous one, [1], by incorporating electric charge.
dc.description.sponsorshipThis work has been partially supported by STFC consolidated grant ST/P000681/1. The au- thor is furthermore grateful for support from the NSERC Postdoctoral Fellowship, and from the Walter Grant Scott Research Fellowship in Physics at Trinity Hall, Uni- versity of Cambridge.
dc.publisherElsevier
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleThree generations, two unbroken gauge symmetries, and one eight-dimensional algebraen
dc.typeArticle
prism.endingPage89
prism.publicationDate2018en
prism.publicationNamePhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physicsen
prism.startingPage84
prism.volume785en
dc.identifier.doi10.17863/CAM.33503
dcterms.dateAccepted2018-08-20en
rioxxterms.versionofrecord10.1016/j.physletb.2018.08.032en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2018-10-10en
dc.contributor.orcidFurey, C [0000-0002-8695-2904]
dc.identifier.eissn1873-2445
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSTFC (ST/P000681/1)


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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International