Non-Higgsable QCD and the Standard Model Spectrum in F-theory

Abstract

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of $SU(3)$, $SU(2)$, and $SU(3)\times SU(2)$, but no $SU(n)$ gauge groups or factors with $n>3$. We study possible realizations of the standard model in F-theory that utilize non-Higgsable clusters containing $SU(3)$ factors and show that there are three distinct possibilities. In one, fields with the non-abelian gauge charges of the standard model matter fields are localized at a single locus where non-perturbative $SU(3)$ and $SU(2)$ seven-branes intersect; cancellation of gauge anomalies implies that the simplest four-dimensional chiral $SU(3)\times SU(2)\times U(1)$ model that may arise in this context exhibits standard model families. We identify specific geometries that realize non-Higgsable $SU(3)$ and $SU(3)\times SU(2)$ sectors. This kind of scenario provides a natural mechanism that could explain the existence of an unbroken QCD sector, or more generally the appearance of light particles and symmetries at low energy scales.

v1: 29 pages + references

References in corpus (14)

• Flux Compactification
• 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
• Anomaly polynomial of general 6d SCFTs
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• Global aspects of the space of 6D N = 1 supergravities
• Physics of String Flux Compactifications
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• 6D supergravity without tensor multiplets
• Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds
• Toric Construction of Global F-Theory GUTs
• Calabi-Yau threefolds with large h^{2, 1}
• Geometric constraints in dual F-theory and heterotic string compactifications

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