The Moduli of Reducible Vector Bundles

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.

33+1 pages

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• Gauge Five Brane Moduli In Four-Dimensional Heterotic Models
• Heterotic Standard Model Moduli
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• Higgs Multiplets in Heterotic GUT Models
• Quiver Structure of Heterotic Moduli