Application of Harmonic Maps CP^(N-1) on SU(N) Bogomolny Equation for BPS Magnetic Monopoles

2013/01/10 by Ardian Nata Atmaja, Atmaja, Ardian Nata
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.1301.2017

openalex publication_date 2013/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this thesis we study dynamic of magnetic monopoles from Lagrangian density in Yang-Mills-Higgs field theory. In particular, we discuss BPS (Bogomolny Prasad Sommerfield) magnetic monopoles, described by SU(N) Bogomolny equations, which has field equations in form of non-linear coupled matrix field equations. One of the methods to simplify SU(N) Bogomolny equations is by using harmonic maps CP^(N-1). This method has relation with Gr(n,N) σ-model and can transform SU(N) Bogomolny equation into more simple scalar field equations that depends only on one variable. As an example, we consider the case of SU(2) Bogomolny equation.

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