Flipped and Unflipped SU(5) as Type IIA Flux Vacua

TL;DR

This paper constructs novel SU(5) and flipped SU(5) models within Type IIA flux compactifications, achieving realistic particle spectra, gauge symmetry breaking, and Yukawa couplings consistent with low-energy phenomenology.

Contribution

First construction of SU(5) models with three {f 10} and no {f 15} representations in Type IIA flux vacua, including flipped SU(5) with all Yukawa couplings allowed.

Findings

Realistic GUT models with three {f 10} and three {f ar 5} representations.

Successful gauge symmetry breaking down to the Standard Model.

Yukawa couplings consistent with global U(1) symmetries.

Abstract

On Type IIA orientifolds with flux compactifications in supersymmetric AdS vacua, we for the first time construct SU(5) models with three anti-symmetric {\bf 10} representations and without symmetric {\bf 15} representations. We show that all the pairs of the anti-fundamental {\bf \bar 5} and fundamental {\bf 5} representations can obtain GUT/string-scale vector-like masses after the additional gauge symmetry breaking via supersymmetry preserving Higgs mechanism. Then we have exact three {\bf \bar 5}, and no other chiral exotic particles that are charged under SU(5) due to the non-abelian anomaly free condition. Moreover, we can break the SU(5) gauge symmetry down to the SM gauge symmetry via D6-brane splitting, and solve the doublet-triplet splitting problem. Assuming that the extra one (or several) pair(s) of Higgs doublets and adjoint particles obtain GUT/string-scale masses via high-dimensional operators, we only have the MSSM in the observable sector below the GUT scale. Then the observed low energy gauge couplings can be generated via RGE running if we choose the suitable grand unified gauge coupling by adjusting the string scale. Furthermore, we construct the first flipped SU(5) model with exact three {\bf 10}, and the first flipped SU(5) model in which all the Yukawa couplings are allowed by the global U(1) symmetries.