Article

# Generalized Monopoles in Six-dimensional Non-Abelian Gauge Theory

• ##### Muneto Nitta
Physical review D: Particles and fields 08/2004; 71(4). DOI: 10.1103/PhysRevD.71.041701
Source: arXiv

ABSTRACT A spherically symmetric monopole solution is found in SO(5) gauge theory with
Higgs scalar fields in the vector representation in six-dimensional Minkowski
spacetime. The action of the Yang-Mills fields is quartic in field strengths.
The solution saturates the Bogomolny bound and is stable.

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ABSTRACT: In this paper, we establish 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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