Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory

Details Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory

2010-03-07

arxiv.org/abs/1003.1441v1

Physics

Mathematical Physics

18 pages

Scientific paper

In this paper, we established the existence and uniqueness of the spherically symmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski space-time and obtain sharp asymptotic estimates for the solutions. Our method is based on a dynamical shooting approach that depends on two shooting parameters which provides an effective framework for constructing the generalized monopoles in six-dimensional Minkowski space-time.

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