The Moduli of Reducible Vector Bundles

Details The Moduli of Reducible Vector Bundles The Moduli of Reducible Vector Bundles

2003-06-13

arxiv.org/abs/hep-th/0306121v1

JHEP 0403 (2004) 043

Physics

High Energy Physics

High Energy Physics - Theory

33+1 pages

Scientific paper

10.1088/1126-6708/2004/03/043

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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