Moduli Space of Non-Abelian Vortices
High Energy Physics - Theory
2010-03-01 v3 Astrophysics
High Energy Physics - Phenomenology
Algebraic Geometry
Differential Geometry
Abstract
We completely determine the moduli space M_{N,k} of k-vortices in U(N) gauge theory with N Higgs fields in the fundamental representation. Its open subset for separated vortices is found as the symmetric product (C x CP^{N-1})^k / S_k. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. Relation to Kahler quotient construction is discussed.
Keywords
Cite
@article{arxiv.hep-th/0511088,
title = {Moduli Space of Non-Abelian Vortices},
author = {Minoru Eto and Youichi Isozumi and Muneto Nitta and Keisuke Ohashi and Norisuke Sakai},
journal= {arXiv preprint arXiv:hep-th/0511088},
year = {2010}
}
Comments
11 pages, no figures, references added, v3: typos corrected, references added, the final version in PRL