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arXiv · hep-th/0306121

The Moduli of Reducible Vector Bundles

Yang-Hui He·Burt A. Ovrut·Rene Reinbacher
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Abstract

A procedure for computing the dimensions of the moduli spaces of reducible, holomorphic vector bundles on elliptically fibered Calabi-Yau threefolds X is presented. This procedure is applied to poly-stable rank n+m bundles of the form V + pi* M, where V is a stable vector bundle with structure group SU(n) on X and M is a stable vector bundle with structure group SU(m) on the base surface B of X. Such bundles arise from small instanton transitions involving five-branes wrapped on fibers of the elliptic fibration. The structure and physical meaning of these transitions are discussed.

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Yang-Hui He, Burt A. Ovrut, Rene Reinbacher. 2003-06-13. The Moduli of Reducible Vector Bundles. https://doi.org/10.1088/1126-6708%2F2004%2F03%2F043

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