The Moduli of Reducible Vector Bundles | Zendy

YangHui He | Zendy; Burt A. Ovrut | Zendy; René Reinbacher | Zendy

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The Moduli of Reducible Vector Bundles

Author(s) -

YangHui He,

Burt A. Ovrut,

René Reinbacher

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/03/043

Subject(s) - vector bundle , fibration , fibered knot , instanton , rank (graph theory) , moduli space , pure mathematics , holomorphic function , group (periodic table) , mathematics , vector valued differential form , base (topology) , physics , mathematical analysis , normal bundle , frame bundle , mathematical physics , combinatorics , homotopy , quantum mechanics

A procedure for computing the dimensions of the moduli spaces of reducible,holomorphic vector bundles on elliptically fibered Calabi-Yau threefolds X ispresented. This procedure is applied to poly-stable rank n+m bundles of theform V + pi* M, where V is a stable vector bundle with structure group SU(n) onX and M is a stable vector bundle with structure group SU(m) on the basesurface B of X. Such bundles arise from small instanton transitions involvingfive-branes wrapped on fibers of the elliptic fibration. The structure andphysical meaning of these transitions are discussed.Comment: 33+1 page

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