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

2010/03/07 by Shouxin Chen, Chen, Shouxin, Long Pei +1
Physics and Astronomy · #65L10 #81T13 #Black Holes and Theoretical Physics #Classical Analysis and ODEs (math.CA) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1003.1441

openalex publication_date 2010/03/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Slow dynamos and decay of monopole magnetic fields in the early Universe
• Non-Abelian walls in supersymmetric gauge theories

Related

• Explicit SU(5) monopole solutions
• Self-Duality Equations on S⁶ from R⁷ monopole
• Yang-Type Monopoles In 5 Dimensional Curved Space-Time
• Monopole in the dilatonic gauge field theory
• On the non-Abelian monopoles on the background of spaces with constant curvature