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Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model

2022/10/17 by Patrick Jefferson, Jefferson, Patrick, Washington Taylor +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2210.09473

openalex publication_date 2022/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We use the recently developed methods of 2108.07810 to analyze vertical flux backgrounds and associated chiral matter spectra in the 4D universal (SU(3) × SU(2) × U(1))/ℤ6 model introduced in 1912.10991, which is believed to describe the most general generic family of F-theory vacua with tuned (SU(3) × SU(2) × U(1))/ℤ6 gauge symmetry. Our analysis focuses on a resolution of a particular presentation of the (SU(3) × SU(2) × U(1))/ℤ6 model in which the elliptic fiber is realized as a cubic in ℙ2 fibered over an arbitrary smooth threefold base. We show that vertical fluxes can produce nonzero multiplicities for all chiral matter families that satisfy 4D anomaly cancellation, which include as a special case the chiral matter families of the Minimal Supersymmetric Standard Model.

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