Tate's Algorithm for F-theory GUTs with two U(1)s
arXiv:1412.4125 · doi:10.1007/JHEP03(2015)055
Abstract
We present a systematic study of elliptic fibrations for F-theory realizations of gauge theories with two U(1) factors. In particular, we determine a new class of SU(5) x U(1)^2 fibrations, which can be used to engineer Grand Unified Theories, with multiple, differently charged, 10 matter representations. To determine these models we apply Tate's algorithm to elliptic fibrations with two U(1) symmetries, which are realized in terms of a cubic in P^2. In the process, we find fibers which are not characterized solely in terms of vanishing orders, but with some additional specialization, which plays a key role in the construction of these novel SU(5) models with multiple 10 matter. We also determine a table of Tate-like forms for Kodaira fibers with two U(1)s.
59 pages, 7 figures
References in corpus (13)
- GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
- Lectures on F-theory compactifications and model building
- F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
- New Aspects of Heterotic--F Theory Duality
- F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
- Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
- Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
- Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
- Yukawas and discrete symmetries in F-theory compactifications without section
- Non-Higgsable QCD and the Standard Model Spectrum in F-theory
- Tate Trees for Elliptic Fibrations with Rank one Mordell-Weil group
- Box Graphs and Resolutions I
- On Discrete Symmetries and Torsion Homology in F-Theory