Nonperturbative flipped SU(5) vacua in Horava-Witten theory

TL;DR

This paper demonstrates the existence of nonperturbative vacua in Horava-Witten theory with three generations and SO(10) symmetry, achieved through compactification on specific Calabi-Yau spaces, connecting to realistic heterotic-string models.

Contribution

It provides explicit solutions for three-generation SO(10) vacua in Horava-Witten theory using torus-fibred Calabi-Yau compactifications with Wilson line symmetry breaking.

Findings

Existence of three-generation SO(10) vacua in Horava-Witten theory.

Construction of solutions on torus-fibred Calabi-Yau spaces.

Overlap with realistic free fermionic heterotic-string models.

Abstract

There is good support for the embedding of the Standard Model fermions in the chiral 16 representation of SO(10). Such an embedding is provided by the realistic free fermionic heterotic-string models. In this talk we demonstrate the existence of solutions with 3 generations and SO(10) observable gauge group, in the case of compactification on a torus-fibred Calabi-Yau space over a Hirzebruch base surface. The SO(10)symmetry is broken to SU(5)xU(1) by a Wilson line. The overlap with the realistic free fermionic heterotic-string models is discussed.