title: Moduli space of non-abelian vortices.
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 (CxCP(N-1))k/(see text)k. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. The relation to Kähler quotient construction is discussed.
authors.affiliation: Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan.
authors.forename: Minoru
authors.initials: M
authors.lastname: Eto
authors.forename: Youichi
authors.initials: Y
authors.lastname: Isozumi
authors.forename: Muneto
authors.initials: M
authors.lastname: Nitta
authors.forename: Keisuke
authors.initials: K
authors.lastname: Ohashi
authors.forename: Norisuke
authors.initials: N
authors.lastname: Sakai