New Examples of Stable Bundles on Calabi-Yau Threefolds

Details New Examples of Stable Bundles on Calabi-Yau Threefolds New Examples of Stable Bundles on Calabi-Yau Threefolds

2011-11-04

arxiv.org/abs/1111.1097v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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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