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 (56)
- Evidence for F-Theory
- Compactifications of F-Theory on Calabi--Yau Threefolds -- II
- Compactifications of F-Theory on Calabi--Yau Threefolds -- I
- Geometric Singularities and Enhanced Gauge Symmetries
- GUTs and Exceptional Branes in F-theory - I
- 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
- On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
- Particle Physics Implications of F-theory
- Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's
- G_4 flux, chiral matter and singularity resolution in F-theory compactifications
- G-flux in F-theory and algebraic cycles
- Anomaly Equations and Intersection Theory
- F-theory fluxes, Chirality and Chern-Simons theories
- Tate's algorithm and F-theory
- F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
- Models of Particle Physics from Type IIB String Theory and F-theory: A Review
- Compact F-theory GUTs with U(1)_PQ
- Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors
- F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
- Duality Between the Webs of Heterotic and Type II Vacua
- Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
- Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors
- On hypercharge flux and exotics in F-theory GUTs
- Physics of F-theory compactifications without section
- Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
- Discrete gauge symmetries in D-brane models
- Froggatt-Nielsen models from E8 in F-theory GUTs
- SU(5) Tops with Multiple U(1)s in F-theory
- U(1) symmetries in F-theory GUTs with multiple sections
- Massive Abelian Gauge Symmetries and Fluxes in F-theory
- Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves
- F-theory on Genus-One Fibrations
- Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry
- Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
- Box Graphs and Singular Fibers
- The Tate Form on Steroids: Resolution and Higher Codimension Fibers
- Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua
- Yukawas and discrete symmetries in F-theory compactifications without section
- More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
- F-theory GUTs with U(1) Symmetries: Generalities and Survey
- F-Theory Compactifications with Multiple U(1)-Factors: Addendum
- Gauge Fluxes in F-theory and Type IIB Orientifolds
- Zp charged branes in flux compactifications
- Phases, Flops and F-theory: SU(5) Gauge Theories
- Non-Higgsable QCD and the Standard Model Spectrum in F-theory
- Tate Trees for Elliptic Fibrations with Rank one Mordell-Weil group
- Rational F-Theory GUTs without exotics
- Towards the Standard Model in F-theory
- On Singular Fibres in F-Theory
- Box Graphs and Resolutions I
- On Discrete Symmetries and Torsion Homology in F-Theory
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- The Global Gauge Group Structure of F-theory Compactification with U(1)s
- F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections
- F-theory and 2d (0,2) Theories
- Anomaly Cancelation in Field Theory and F-theory on a Circle
- Special Points of Inflation in Flux Compactifications
- Tate Trees for Elliptic Fibrations with Rank one Mordell-Weil group
- Vector-Like Exotics in F-Theory and 750 GeV Diphotons
- Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models
- Abelian F-theory Models with Charge-3 and Charge-4 Matter
- Non-Abelian discrete gauge symmetries in F-theory
- When Rational Sections Become Cyclic: Gauge Enhancement in F-theory via Mordell--Weil Torsion
- On and F-Theory GUTs
- Froggatt-Nielsen meets Mordell-Weil: A Phenomenological Survey of Global F-theory GUTs with U(1)s
- Orders of Vanishing and U(1) Charges in F-theory