Gravitating SU(N) Monopoles from Harmonic maps

Details Gravitating SU(N) Monopoles from Harmonic maps Gravitating SU(N) Monopoles from Harmonic maps

2003-10-08

arxiv.org/abs/hep-th/0310076v2

Class.Quant.Grav.21:517-526,2004

Physics

High Energy Physics

High Energy Physics - Theory

12 REVTEX pages, 3 PS-figures; references added, conclusion extended

Scientific paper

10.1088/0264-9381/21/2/015

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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