The existence of topological solutions to the Chern–Simons model on lattice graphs

Analysis & PDE 2026 Open access

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Authors: Bobo Hua, Genggeng Huang, Jiaxuan Wang
DOI: 10.2140/apde.2026.19.485
Cited by: 1
References: 28

Abstract

We prove the existence of topological solutions to the self-dual Chern-Simons model and the abelian Higgs system on the lattice graphs ‫ޚ‬ n for n ⩾ 2. This extends results of Huang, Lin and Yau (2020) from finite graphs to lattice graphs.

Fields of Study & Subjects

Black Holes and Theoretical Physics Geometry and complex manifolds Advanced Operator Algebra Research

Publication details

Journal / source
Analysis & PDE
Publisher
Mathematical Sciences Publishers
Volume
19
Issue
3
Pages
485–504
Publication date
11 March 2026
Language
EN