Heterotic Vacua from general (non-) Abelian Bundles

TL;DR

This paper constructs four-dimensional heterotic string vacua using general abelian and non-abelian bundles on Calabi-Yau manifolds, revealing a rich gauge structure and new model building opportunities.

Contribution

It introduces a comprehensive framework for heterotic vacua with general bundles, including stability conditions and chiral spectrum analysis, expanding the landscape of string model building.

Findings

Derived the general supersymmetry condition as pi-stability.

Presented a Standard-Model-like example with U(n) bundles.

Analyzed the chiral spectrum including heterotic five-branes.

Abstract

We report on the construction of four-dimensional string vacua by considering general abelian and non-abelian bundles on an internal Calabi-Yau for both heterotic theories. The structure of the resulting gauge sector is extremely rich and gives rise to many new model building possibilities. We analyse the chiral spectrum including the contribution from heterotic five-branes and provide the general consistency conditions. The one-loop corrected supersymmetry condition on the bundles is found to be that of pi-stability. As an application we present a supersymmetric Standard-Model like example for the SO(32) string with U(n) bundles on an elliptically fibered Calabi-Yau.