Non-Abelian Vortices of Higher Winding Numbers
Abstract
We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of co-axial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase, recently discussed by Hashimoto-Tong (hep-th/0506022) and Auzzi-Shifman-Yung (hep-th/0511150). We find that it is a weighted projective space WCP^2_(2,1,1)=CP^2/Z_2. This manifold contains an A_1-type (Z_2) orbifold singularity even though the full moduli space including the relative position moduli is smooth. The SU(2) transformation properties of such vortices are studied. Our results are then generalized to U(N) gauge theory with N flavors, where the internal moduli space of k=2 axially symmetric vortices is found to be a weighted Grassmannian manifold. It contains singularities along a submanifold.
Keywords
Cite
@article{arxiv.hep-th/0607070,
title = {Non-Abelian Vortices of Higher Winding Numbers},
author = {Minoru Eto and Kenichi Konishi and Giacomo Marmorini and Muneto Nitta and Keisuke Ohashi and Walter Vinci and Naoto Yokoi},
journal= {arXiv preprint arXiv:hep-th/0607070},
year = {2010}
}
Comments
32 pages, 1 figure, the final version published in PRD