Effective Theory on Non-Abelian Vortices in Six Dimensions

Details Effective Theory on Non-Abelian Vortices in Six Dimensions Effective Theory on Non-Abelian Vortices in Six Dimensions

2004-05-19

arxiv.org/abs/hep-th/0405161v2

Nucl.Phys. B701 (2004) 247-272

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, no figures, typos corrected, references added, the version to appear in Nucl.Phys.B

Scientific paper

10.1016/j.nuclphysb.2004.09.003

Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U(N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and quasi-Nambu-Goldstone fields. Effective gauge theories for the moduli fields are constructed on the four-dimensional world volume of vortices. A systematic method to obtain the most general form of the effective Lagrangian consistent with symmetry is proposed. The moduli space for the multi-vortices is found to be a vector bundle over the complex Grassmann manifold.

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