Effective Theory on Non-Abelian Vortices in Six Dimensions

Abstract

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.

arXiv comment30 pages, no figures, typos corrected, references added, the version to appear in Nucl.Phys.B

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• Gravity on codimension 2 brane worlds
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• D-brane Construction for Non-Abelian Walls
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• Domain Walls with Non-Abelian Clouds
• Intersecting Solitons, Amoeba and Tropical Geometry
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• Existence of Multiple Vortices in Supersymmetric Gauge Field Theory
• Effective Action of Domain Wall Networks
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• Multiple Layer Structure of Non-Abelian Vortex
• Group Theory of Non-Abelian Vortices
• The Holomorphic Tension of Vortices
• Gravitating p-Branes
• Remark on Natural Models of Neutrinos
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