Heterotic E6 GUTs and Partition Functions

TL;DR

This paper constructs explicit partition functions for heterotic E6 grand unified theories using lattice engineering and diagonal embedding, aiming to find more phenomenologically viable models.

Contribution

It provides a systematic construction method for heterotic E6 GUT models with explicit partition functions, expanding the possibilities for realistic string-derived models.

Findings

Constructed two new heterotic E6 GUT models in asymmetric orbifolds.

Demonstrated systematic construction techniques using lattice engineering.

Provided explicit partition functions to facilitate further model building.

Abstract

The E6 grand unified theory is an attractive candidate intermediate theory between the standard model and string theory. However, only one E6 grand unified model with three generations and at least one adjoint Higgs field has been derived from string theory in the literature, and this model is phenomenologically unsatisfactory. Recently, in arXiv:1012.1690, we have constructed two new such E6 grand unified models in heterotic asymmetric orbifolds. Although our new models themselves cannot resolve the unsatisfactory point in the previous model, our discovery raises hopes that one can construct many other such models in this framework and find better models. Here, by giving partition functions explicitly, we explain the details of our construction. Utilizing the lattice engineering technique and the diagonal embedding method, we can construct models systematically. We hope that these techniques and the details of our construction will lead to more phenomenologically desirable models.