GUT theories from Calabi-Yau 4-folds with SO(10) Singularities

TL;DR

This paper constructs an SO(10) GUT model within F-theory on a Calabi-Yau 4-fold, resolving singularities to identify matter representations and Yukawa couplings, and explicitly builds G-fluxes to match semi-local results.

Contribution

It provides a global resolution of SO(10) singularities in F-theory compactifications and explicitly constructs G-fluxes consistent with semi-local models.

Findings

Identified matter curves and Yukawa couplings for SO(10) GUTs.

Constructed G-fluxes matching semi-local results.

Resolved singularities globally in Calabi-Yau 4-folds.

Abstract

We consider an SO(10) GUT model from F-theory compactified on an elliptically fibered Calabi-Yau with a D5 singularity. To obtain the matter curves and the Yukawa couplings, we use a global description to resolve the singularity. We identify the vector and spinor matter representations and their Yukawa couplings and we explicitly build the G-fluxes in the global model and check the agreement with the semi-local results. As our bundle is of type SU(2k), some extra conditions need to be applied to match the fluxes.