37 citations · 174 across the 19 of their papers we have counts for
4 papers · 1 filter
Magnetic Impurity Inspired Abelian Higgs Vortices
Xiaosen Han, Yisong Yang
Inspired by magnetic impurity considerations some broad classes of Abelian Higgs and Chern--Simons--Higgs BPS vortex equations are derived and analyzed.
Relativistic Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Yisong Yang
An existence theorem is established for the solutions to the non-Abelian relativistic Chern--Simons--Higgs vortex equations over a doubly periodic domain when the gauge group a…
Topologically Stratified Energy Minimizers in a Product Abelian Field Theory
Xiaosen Han, Yisong Yang
We study a recently developed product Abelian gauge field theory by Tong and Wong hosting magnetic impurities. We first obtain a necessary and sufficient condition for the existenc…
Resolution of Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Chang-Shou Lin, Yisong Yang
It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern--Simons--Higgs vortex equations makes it difficult to develop an existence theory when…