Asymmetric Gepner Models II. Heterotic Weight Lifting

TL;DR

This paper systematically explores 'lifted' Gepner models in heterotic string theory, revealing abundant three-family models and new moduli spaces, contrasting with traditional Gepner models, and discusses fractionally charged particles.

Contribution

It introduces a novel method of 'lifting' Gepner models by replacing components, leading to the discovery of numerous three-family models and new moduli spaces.

Findings

Over 250 new three-family model moduli spaces identified

Lifted models produce more three-family models than standard Gepner models

Fractionally charged particles are present in the spectra

Abstract

A systematic study of "lifted" Gepner models is presented. Lifted Gepner models are obtained from standard Gepner models by replacing one of the N=2 building blocks and the $E_8$ factor by a modular isomorphic $N=0$ model on the bosonic side of the heterotic string. The main result is that after this change three family models occur abundantly, in sharp contrast to ordinary Gepner models. In particular, more than 250 new and unrelated moduli spaces of three family models are identified. We discuss the occurrence of fractionally charged particles in these spectra.