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

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.

preprint2013arXivOpen access
Ardian Nata Atmaja
hep-th
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Ardian Nata Atmaja

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