Global SO(10) F-theory GUTs

TL;DR

This paper constructs global F-theory SO(10) GUT models using toric geometry, identifying GUT divisors, and breaking symmetry to the Standard Model with fluxes, providing detailed phenomenological examples.

Contribution

It introduces a method to build global F-theory SO(10) GUT models on toric base manifolds with explicit flux breaking mechanisms.

Findings

Constructed explicit SO(10) models on toric bases.

Demonstrated flux breaking to SU(5)×U(1) and further to the Standard Model.

Provided phenomenologically attractive model examples.

Abstract

Making use of toric geometry we construct a class of global F-theory GUT models. The base manifolds are blowups of Fano threefolds and the Calabi-Yau fourfold is a complete intersection of two hypersurfaces. We identify possible GUT divisors and construct SO(10) models on them using the spectral cover construction. We use a split spectral cover to generate chiral matter on the 10 curves in order to get more degrees of freedom in phenomenology. We use abelian flux to break SO(10) to SU(5)\times U(1) which is interpreted as a flipped SU(5) model. With the GUT Higgses in the SU(5)\times U(1) model it is possible to further break the gauge symmetry to the Standard Model. We present several phenomenologically attractive examples in detail.