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He, Yang-Hui; Ovrut, Burt A.; Reinbacher, Rene (2003)
Publisher: Institute of Physics
Languages: English
Types: Article
Subjects: QC, High Energy Physics - Theory

Classified by OpenAIRE into

arxiv: Mathematics::Symplectic Geometry, Mathematics::Algebraic Geometry
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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