Vortex equations in abelian gauged sigma-models
Differential Geometry
2009-11-10 v2 High Energy Physics - Theory
Abstract
We consider nonlinear gauged sigma-models with Kahler domain and target. For a special choice of potential these models admit Bogomolny (or self-duality) equations -- the so-called vortex equations. We find the moduli space and energy spectrum of the solutions of these equations when the gauge group is a torus T^n, the domain is compact, and the target is C^n or CP^n. We also obtain a large family of solutions when the target is a compact Kahler toric manifold.
Keywords
Cite
@article{arxiv.math/0411517,
title = {Vortex equations in abelian gauged sigma-models},
author = {J. M. Baptista},
journal= {arXiv preprint arXiv:math/0411517},
year = {2009}
}
Comments
v2: 60 pages, more details than in CMP version