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Vortices for the magnetic Ginzburg-Landau theory in curved space
Lei Cao, Yilu Xu, Shouxin Chen
Since the Ginzburg-Landau theory is concerned with macroscopic phenomena, and gravity affects how objects interact at the macroscopic level. It becomes relevant to study the Ginzbu…
Multiple cosmic strings in Chern-Simons-Higgs theory with gravity
Lei Cao, Shouxin Chen
In this paper, we consider the self-dual equation arising from Abelian Chern-Simons-Higgs theory coupled to the Einstein equations over the plane and a compact surfa…
Cosmic strings in a generalized linear formulation of gauge field theory
Lei Cao, Shouxin Chen
In this note we construct self-dual cosmic strings from a gauge field theory with a generalized linear formation of potential energy density. By integrating the Einstein equation,…
Existence of Non-Abelian Vortices in the Aharony--Bergman--Jafferis--Maldacena Theory
Shouxin Chen, Ruifeng Zhang, Meili Zhu
Vortices in non-Abelian gauge field theory play important roles in confinement mechanism and are governed by systems of nonlinear elliptic equations of complicated structures. In t…