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21 papers · 1 filter
Bogomol'nyi Equations and Coexistence of Vortices and Antivortices in Generalized Abelian Higgs Theories
Aonan Xu, Yisong Yang
We derive the Bogomol'nyi equations in generalized Abelian Higgs theories which allow the coexistence of vortices and antivortices over a compact Riemann surface or the full plane.…
Symmetric deformed 2D/3D Hurwitz-Kontsevich model and affine Yangian of gl(1)
Na Wang, Ke Wu
Since the (-deformed) Hurwitz Kontsevich model corresponds to the special case of affine Yangian of . In this paper, we construct two general cases of the $β…
Nineteen vortex equations and integrability
Sven Bjarke Gudnason
The class of five integrable vortex equations discussed recently by Manton is extended so it includes the relativistic BPS Chern-Simons vortices, yielding a total of nineteen vorte…
Magnetic Impurities, Integrable Vortices and the Toda Equation
Sven Bjarke Gudnason, Calum Ross
The five integrable vortex equations, recently studied by Manton, are generalized to include magnetic impurities of the Tong-Wong type. Under certain conditions these generalizatio…
Solutions to the Minimization Problem Arising in a Dark Monopole Model in Gauge Field Theory
Xiangqin Zhang, Yisong Yang
We prove the existence of dark monopole solutions in a recently formulated Yang--Mills--Higgs theory model with technical features similar to the classical monopole problems. The s…
Coexisting Vortices and Antivortices Generated by Dually Gauged Harmonic Maps
Xiaosen Han, Genggeng Huang, Yisong Yang
In this paper we first formulate a dually gauged harmonic map model, suggested from a product Abelian Higgs field theory arising in impurity-inspired field theories, and obtain a n…