Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs

Abstract

We analyze constraints for embedding local SU(5) F-theory GUTs into consistent compactifications and construct explicit three-generation models based on the geometry of arXiv:0904.3932. The key tool for studying constraints in this problem when there is an underlying E_8 structure is the spectral cover, which encodes all of the symmetries that fix the allowed couplings in the superpotential, as well as the consistent, supersymmetric G-fluxes. Imposing phenomenological requirements such as the existence of three generations, top and bottom Yukawa couplings, good flavor structure and absence of exotics and of a tree-level mu-term, we derive stringent constraints on the allowed spectral covers. The resulting spectral covers are in conflict with the neutrino scenarios that have been studied in local F-theory models unless we allow for the possibility of additional charged fields, perhaps playing the role of gauge messengers, that do not comprise complete GUT multiplets. Quite remarkably, the existence of additional incomplete GUT multiplets below the GUT scale is necessary for consistency with gauge coupling "unification", as their effect on weak scale couplings can precisely cancel that of the internal hypercharge flux, which distorts the gauge couplings already at M_GUT.

65 pages, 3 figures, v2: more detailed discussion of the alternative scenario proposed in v1 that evades constraints by introducing gauge messengers in incomplete GUT multiplets in a manner consistent with 'unification'

References in corpus (4)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• New Aspects of Heterotic--F Theory Duality
• Gauge Coupling Unification in F-theory GUT Models
• Sweet Spot Supersymmetry

Cited by in corpus (31)

• Lectures on F-theory compactifications and model building
• T-Branes and Monodromy
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• The N=1 effective action of F-theory compactifications
• Hypercharge Flux, Exotics, and Anomaly Cancellation in F-theory GUTs
• Geometric constraints in dual F-theory and heterotic string compactifications
• A Note on G-Fluxes for F-theory Model Building
• N = 1 SCFTs from Brane Monodromy
• An Exceptional Sector for F-theory GUTs
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• Yukawa couplings and fermion mass structure in F-theory GUTs
• F-GUTs with Mordell-Weil U(1)'s
• T-branes and Yukawa Couplings
• Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects
• Flipped SU(5) GUTs from E_8 Singularities in F-theory
• Dirac gauginos and unification in F-theory
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Higgs Bundles for M-theory on $G_2$-Manifolds
• Discrete Family Symmetry from F-Theory GUTs
• The Potential Fate of Local Model Building
• On F-theory E_6 GUTs
• Tate's Algorithm for F-theory GUTs with two U(1)s
• F-theory Family Unification
• On Global Flipped SU(5) GUTs in F-theory
• Comments on Flipped SU(5) (and F-theory)
• Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics
• R-Parity violation in F-Theory
• Phenomenology with F-theory SU(5)
• Three Generations and a Trio of Trialities
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• A Superalgebra Within: representations of lightest standard model particles form a ${\mathbb{Z}}_2^5$-graded algebra