Discriminating MSSM families in (free-field) Gepner Orientifolds

TL;DR

This paper analyzes Gepner orientifold compactifications with free fields, identifying vacua where different families have distinct U(1) charges, leading to mass hierarchies via instantons, with implications for particle physics phenomenology.

Contribution

It provides a complete analysis of orientifold Gepner models with free fields and identifies vacua with family-dependent U(1) charges affecting mass generation.

Findings

Found tadpole solutions with a single chiral spectrum variant.

Identified vacua where different families have different U(1) charges.

Masses for some families arise from instantons, creating mass hierarchies.

Abstract

A complete analysis of orientifold compactifications involving Gepner models that are free fields (k=1,2) is performed. A set of tadpole solutions is found that are variants of a single chiral spectrum. The vacua found have the property that different families have different U(1) charges so that one family cannot obtain masses in perturbation theory. Its masses must come from instantons, allowing for a hierarchy of masses. The phenomenological aspects of such vacua are analyzed.