New Examples of Stable Bundles on Calabi-Yau Threefolds

2011/11/04 by Bjorn Andreas, Andreas, Bjorn, Norbert Hoffmann +1
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.1111.1097

9 pages

arxiv created 2011/11/04 · arxiv updated 2011/11/07

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.

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