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arxiv: hep-th/0310076 · v2 · pith:J4PMS7LYnew · submitted 2003-10-08 · ✦ hep-th

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 This is my paper
classification ✦ hep-th
keywords casesolutionsequationsgravitatingharmonicanaloguesansatzappropriate
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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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