New Examples of Stable Bundles on Calabi-Yau Threefolds

TL;DR

This paper introduces a new method for constructing stable vector bundles on Calabi-Yau threefolds using bundle extensions, with examples that satisfy heterotic string anomaly cancellation constraints.

Contribution

It provides a novel geometric construction of stable bundles on Calabi-Yau threefolds applicable to a broad class of these spaces.

Findings

Constructed stable bundles of rank 2 and 4 on Calabi-Yau threefolds.

Examples satisfy heterotic string anomaly cancellation.

Method applicable to Calabi-Yau with h^{1,1}>1.

Abstract

In this paper we present a construction of stable bundles on Calabi-Yau threefolds using the method of bundle extensions. This construction applies to any given Calabi-Yau threefold with h^{1,1}>1. We give examples of stable bundles of rank 2 and 4 constructed out of pure geometric data of the given Calabi-Yau space. As an application, we find that some of these bundles satisfy the physical constraint imposed by heterotic string anomaly cancellation.