Strings in Yang-Mills-Higgs theory coupled to gravity

Details Strings in Yang-Mills-Higgs theory coupled to gravity Strings in Yang-Mills-Higgs theory coupled to gravity

2007-06-04

arxiv.org/abs/0706.0446v2

Phys.Rev.D76:085015,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figure, modified version with new title, abstract and an additional section completing the study of effective the

Scientific paper

10.1103/PhysRevD.76.085015

Non-Abelian strings for an Einstein-Yang-Mills-Higgs theory are explicitly constructed. We consider N_f Higgs fields in the fundamental representation of the U(1)xSU(N_c) gauge group in order to have a color-flavor SU(N_c) group remaining unbroken. Choosing a suitable ansatz for the metric, Bogomol'nyi-like first order equations are found and rotationally symmetric solutions are proposed. In the N_f = N_c case, solutions are local strings and are shown to be truly non-Abelian by parameterizing them in terms of orientational collective coordinates. When N_f > N_c, the solutions correspond to semilocal strings which, beside the orientational degrees of freedom, acquire additional collective coordinates parameterizing their transverse size. The low-energy effective theories for the correspondent moduli are found, showing that all zero modes are normalizable in presence of gravity, even in the semilocal case.

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