Research PapersNo Access
VORTICES AS INSTANTONS IN NONCOMMUTATIVE DISCRETE SPACE: USE OF Z2 COORDINATES
https://doi.org/10.1142/S0217732310033505Cited by:1 (Source: Crossref)
Abstract
We show that vortices of Yang–Mills–Higgs model in R2 space can be regarded as instantons of Yang–Mills model in R2 × Z2 space. For this, we construct the noncommutative Z2 space by explicitly fixing the Z2 coordinates and then show, by using the Z2 coordinates, that BPS equation for the vortices can be considered as a self-dual equation. We also propose the possibility to rewrite the BPS equations for vortices as ADHM equations through the use of self-dual equation.
PACS: 11.10.Nx, 11.27.+d, 11.15.Tk, 02.40.Gh
