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19 April 2024
 
  » arxiv » hep-th/0310076

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Gravitating SU(N) Monopoles from Harmonic maps
Yves Brihaye ; Betti Hartmann ; Theodora Ioannidou ; Wojtek J. Zakrzewski ;
Date 8 Oct 2003
Journal Class.Quant.Grav. 21 (2004) 517-526
Subject hep-th
AffiliationUniversite de Mons, Belgium), Betti Hartmann (IUB, Germany), Theodora Ioannidou (University of Kent, UK) and Wojtek J. Zakrzewski (University of Durham, UK
AbstractSpherically 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).
Source arXiv, hep-th/0310076
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