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New Examples of Stable Bundles on Calabi-Yau Threefolds

Algebraic Geometry 2011-11-07 v1 High Energy Physics - Theory Differential Geometry

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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Cite

@article{arxiv.1111.1097,
  title  = {New Examples of Stable Bundles on Calabi-Yau Threefolds},
  author = {Bjorn Andreas and Norbert Hoffmann},
  journal= {arXiv preprint arXiv:1111.1097},
  year   = {2011}
}

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9 pages