English

Gravitating SU(N) Monopoles from Harmonic maps

High Energy Physics - Theory 2010-11-19 v2

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).

Keywords

Cite

@article{arxiv.hep-th/0310076,
  title  = {Gravitating SU(N) Monopoles from Harmonic maps},
  author = {Yves Brihaye and Betti Hartmann and Theodora Ioannidou and Wojtek J. Zakrzewski},
  journal= {arXiv preprint arXiv:hep-th/0310076},
  year   = {2010}
}

Comments

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

R2 v1 2026-07-22T15:19:28.396Z