The existence of topological solutions to the Chern-Simons model on lattice graphs
arXiv:2310.13905 · doi:10.2140/apde.2026.19.485
Abstract
We prove the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on the lattice graphs Z^n for n>1. This extends the results in Huang, Lin and Yau [HLY20] from finite graphs to lattice graphs.