The Berry connection of the Ginzburg-Landau vortices

Abstract

We analyze 2-dimensional Ginzburg-Landau vortices at critical coupling, and establish asymptotic formulas for the tangent vectors of the vortex moduli space using theorems of Taubes and Bradlow. We then compute the corresponding Berry curvature and holonomy in the large volume limit.

28 pages, 2 figures, published version

References in corpus (3)

• On the L^2-metric of vortex moduli spaces
• Analytic vortex solutions on compact hyperbolic surfaces
• Vortex Motion on Surfaces of Small Curvature