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arXiv:0909.0034·v2·High Energy Physics — Theory

Z(2) monopoles in SU(n) Yang-Mills-Higgs theories

Marco A. C. Kneipp🇧🇷 · Paulo J. Liebgott🇧🇷

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Abstract

Z(n) monopoles are important for the understanding of Goddard-Nuyts-Olive duality when the scalar field is not in the adjoint representation. We analyze the Z(2) monopole solutions in a SU(n) Yang-Mills-Higgs theory spontaneously broken to Spin(n)/Z(2) by a scalar in the n x n representation. We construct a Z(2) monopole asymptotic form for each of the weights of the defining representation of the algebra dual to so(n).

Comments: 20 pages. Text improved, results unchanged. Matches version published in Phys. Rev. D

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