Z(2) monopoles in SU(n) Yang-Mills-Higgs theories
Marco A. C. Kneipp, Paulo J. Liebgott
TL;DR
This paper investigates Z(2) monopole solutions in SU(n) Yang-Mills-Higgs theories, providing explicit asymptotic forms and exploring their role in duality when scalar fields are in non-adjoint representations.
Contribution
It constructs explicit Z(2) monopole asymptotic solutions in SU(n) theories with scalar fields in the n x n representation, extending understanding of duality.
Findings
Explicit asymptotic forms for Z(2) monopoles are derived.
The analysis links monopole solutions to weights of the dual algebra.
Insights into duality in theories with non-adjoint scalar fields.
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).
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