Local Models in F-Theory and M-Theory with Three Generations

dc.creatorBourjaily, Jacob L.
dc.date2009-01-26
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:41:50Z
dc.date.available2026-07-07T12:41:50Z
dc.descriptionWe describe a general framework that can be used to geometrically engineer local, phenomenological models in F-theory and M-theory based on ALE-fibrations, and we present several concrete examples of such models that feature three generations of matter with semi-realistic phenomenology. We show that the geometric structures required for generating interactions--triple-intersections of matter-curves in F-theory and supersymmetric three-cycles supporting multiple conical singularities in M-theory--are generic in such ALE-fibred manifolds, and that they can be understood in correspondence with one another. The models we can construct in this way are strictly limited in complexity by the maximality of the E8-ALE space, but turn out to be just complex enough to accommodate some of the most realistic string models to date.
dc.description53 pages, 9 figures, 12 tables. references added, minor corrections
dc.identifierhttps://arxiv.org/abs/0901.3785
dc.identifierhttp://arxiv.org/abs/0901.3785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219879
dc.subjectHigh Energy Physics - Theory
dc.titleLocal Models in F-Theory and M-Theory with Three Generations
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