New examples of stable bundles on Calabi-Yau threefolds (Pre-published Version)
Andreas, B. & Hoffmann, N. (2012), 'New Examples of Stable Bundles on Calabi-Yau Threefolds', International Mathematics Research Notices, published online June 20, 2012, doi:10.1093/imrn/rns132 .
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 h1
,
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.
Keywords
Stable bundlesCalabi-Yau threefolds