Some Torsional Local Models of Heterotic Strings

TL;DR

This paper constructs solutions to the Strominger system on specific noncompact Calabi-Yau 3-folds, including  and resolved conifold, advancing understanding of heterotic string models in complex geometries.

Contribution

It introduces new torsional local models of heterotic strings on noncompact Calabi-Yau 3-folds, expanding the class of known solutions.

Findings

Solutions to the Strominger system on  and resolved conifold

Extension of heterotic string models to noncompact Calabi-Yau spaces

New geometric constructions relevant for string theory compactifications

Abstract

We construct solutions to the Strominger system on a class of noncompact Calabi-Yau 3-folds. These spaces include $\mathbb{C}^3$ and resolved conifold $\mathcal{O}(-1,-1)$ as special examples.