Gravitating SU(N) Monopoles from Harmonic maps
Yves Brihaye (Universite de Mons, Belgium), Betti Hartmann (IUB,, Germany), Theodora Ioannidou (University of Kent, UK), Wojtek J., Zakrzewski (University of Durham, UK)
TL;DR
This paper constructs spherically symmetric SU(N) monopole solutions in Einstein-Yang-Mills-Higgs theory using harmonic maps, revealing new solutions for N > 2 and extending known SU(2) results.
Contribution
It introduces a harmonic map ansatz to find new gravitating monopole solutions in SU(N) gauge theories, generalizing previous SU(2) results.
Findings
Recovered known SU(2) monopole equations
Found new solutions for SU(N) with N > 2
Identified gravitating analogues of existing solutions
Abstract
Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz. The problem reduces to solving a set of ordinary differential equations for the appropriate profile functions. In the SU(2) case, we recover the equations studied in great detail previously, while for the SU(N) (N > 2) case we find new solutions. In the SU(3) case we see that our expressions are the gravitating analogues of the solutions obtained through the SO(3) embedding into SU(2).
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