Gravitating SU(N) Monopoles from Harmonic maps
arXiv:hep-th/0310076 · doi:10.1088/0264-9381/21/2/015
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).
12 REVTEX pages, 3 PS-figures; references added, conclusion extended