Abelian Gauge Fluxes and Local Models in F-Theory

TL;DR

This paper investigates Abelian gauge fluxes in local F-theory models with specific gauge groups, revealing a no-go theorem for SO(10) and constructing flux solutions for SU(6), with implications for MSSM spectra.

Contribution

It establishes a no-go theorem for U(1)^2 flux solutions in SO(10) models and explicitly constructs flux solutions for SU(6) models with realistic spectra.

Findings

No solutions for U(1)^2 fluxes in SO(10) models without exotics.

Explicit construction of U(1)^2 fluxes in SU(6) models.

Analysis of conditions for matter curves and non-minimal MSSM spectra.

Abstract

We analyze the Abelian gauge fluxes in local F-theory models with G_S=SU(6) and SO(10). For the case of G_S=SO(10), there is a no-go theorem which states that for an exotic-free spectrum, there are no solutions for U(1)^2 gauge fluxes. We explicitly construct the U(1)^2 gauge fluxes with an exotic-free bulk spectrum for the case of G_S=SU(6). We also analyze the conditions for the curves supporting the given field content and discuss non-minimal spectra of the MSSM with doublet-triplet splitting.