Existence of multiple vortices in supersymmetric gauge field theory

Abstract

Two sharp existence and uniqueness theorems are presented for solutions of multiple vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under the general gauge symmetry group G =U (1)× SU (N ) and with N Higgs scalar fields in the fundamental representation of G. Specifically, when the space of extra dimension is compact so… (More)

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