The Moduli Space of Noncommutative Vortices
High Energy Physics - Theory
2009-11-07 v2
Abstract
The abelian Higgs model on the noncommutative plane admits both BPS vortices and non-BPS fluxons. After reviewing the properties of these solitons, we discuss several new aspects of the former. We solve the Bogomoln'yi equations perturbatively, to all orders in the inverse noncommutivity parameter, and show that the metric on the moduli space of k vortices reduces to the computation of the trace of a k-dimensional matrix. In the limit of large noncommutivity, we present an explicit expression for this metric.
Cite
@article{arxiv.hep-th/0210010,
title = {The Moduli Space of Noncommutative Vortices},
author = {David Tong},
journal= {arXiv preprint arXiv:hep-th/0210010},
year = {2009}
}
Comments
Invited contribution to special issue of J.Math.Phys. on "Integrability, Topological Solitons and Beyond"; 10 Pages, 1 Figure. v2: revision of history in introduction