Nonperturbative flipped SU(5) vacua in heterotic M-theory

TL;DR

This paper explores non-perturbative heterotic M-theory vacua with specific gauge bundles, demonstrating the existence of three-generation solutions with SO(10) symmetry broken to SU(5)XU(1), relevant for realistic string models.

Contribution

It generalizes previous work to SU(2n) bundles on elliptically fibered Calabi-Yau manifolds, finding explicit three-generation solutions with SO(10) gauge symmetry.

Findings

Existence of SU(4) solutions with three generations

SO(10) gauge symmetry broken to SU(5)XU(1) by Wilson line

Certain del Pezzo bases do not admit solutions

Abstract

The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO(10) representation. Such an embedding is afforded by the realistic free fermionic heterotic-string models. In this paper we advance the study of these string models toward a non-perturbative analysis by generalizing the work of Donagi, Pantev, Ovrut and Waldram from the case of G=SU(2n+1) to G=SU(2n) stable holomorphic vector bundles on elliptically fibered Calabi-Yau manifolds with fundamental group Z2. We demonstrate existence of G=SU(4) solutions with three generations and SO(10) observable gauge group over Hirzebruch base surface, whereas we show that certain classes of del Pezzo base surface do not admit such solutions. The SO(10) symmetry is broken to SU(5)XU(1) by Wilson line. The overlap with the realistic free fermionic heterotic-string models is discussed.