Analytic Approach for Computation of Topological Number of Integrable Vortex on Torus
High Energy Physics - Theory
2024-10-15 v2 Mathematical Physics
math.MP
Abstract
An analytic method to calculate the vortex number on a torus is constructed, focusing on analytic vortex solutions to the Chern-Simons-Higgs theory, whose governing equation is the so-called Jackiw-Pi equation. The equation is one of the integrable vortex equations and is reduced to Liouville's equation. The requirement of continuity of the Higgs field strongly restricts the characteristics and the fundamental domain of the vortices. Also considered are the decompactification limits of the vortices on a torus, in which "flux loss" phenomena occasionally occur.
Cite
@article{arxiv.2403.18264,
title = {Analytic Approach for Computation of Topological Number of Integrable Vortex on Torus},
author = {Kaoru Miyamoto and Atsushi Nakamula},
journal= {arXiv preprint arXiv:2403.18264},
year = {2024}
}
Comments
25 pages, 9 figures