Abstract
Non-Abelian strings for an Einstein-Yang-Mills-Higgs theory are explicitly constructed. We consider Higgs fields in the fundamental representation of the gauge group in order to have a color-flavor 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 case, solutions are local strings and are shown to be truly non-Abelian by parametrizing them in terms of orientational collective coordinates. When , the solutions correspond to semilocal strings which, beside the orientational degrees of freedom, acquire additional collective coordinates parametrizing 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.
- Received 4 June 2007
DOI:https://doi.org/10.1103/PhysRevD.76.085015
©2007 American Physical Society