New Global F-theory GUTs with U(1) symmetries

TL;DR

This paper constructs explicit global F-theory GUT models with U(1) symmetries, achieving desired matter spectra and Yukawa couplings while avoiding proton decay operators, and introduces new geometric methods for analyzing these models.

Contribution

It presents a novel construction of global F-theory GUTs with U(1) symmetries that do not derive from an E8 gauge group, expanding the landscape of viable GUT models.

Findings

Successfully constructed models with specific U(1) charge spectra

Demonstrated the calculation of chiral matter indices via Chern-Simons terms

Avoided no-go theorems related to hypercharge flux in GUT breaking

Abstract

We construct global F-theory GUTs with SU(5) x U(1) gauge group defined by specifying a fully resolved Calabi-Yau fourfold and consistent four-form G-flux. Its specific U(1) charged matter spectrum allows the desired Yukawa couplings, but forbids dangerous proton decay operators. The model we find: (1) does not follow from an underlying higgsed E8 gauge group (2) leaves the class of theories that can be analyzed with current split-spectral cover techniques. This avoids recently proposed no-go theorems for models with hypercharge flux, as required to break the GUT group. The appearance of additional fields is related geometrically to considering a more general class of sections and 4-1 splits. We show explicitly that the four-dimensional chiral matter index can still be computed using three-dimensional one-loop Chern-Simons terms.