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math-ph2024
Twisted vortices in two-component Ginzburg-Landau theory
Lei Cao, Shouxin Chen
In this note, a brief introduction to the physical and mathematical background of the two-component Ginzburg-Landau theory is given. From this theory we derive a boundary value pro…
math-ph2024
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…
math-ph2024
Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor
Lei Cao, Yilu Xu
In this paper, we use a modified Abelian field strength tensor in Georgi-Glashow model and obtain a new Julia-Zee dyon equations which degenerated into the 't Hooft-Polyakov monopo…