Chern-Simons deformation of vortices on compact domains

JOURNAL OF GEOMETRY AND PHYSICS

卷:133

Article

Flood, S. P.¹  Speight, J. M.¹ 

[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

关键词: Vortices;    Gauge theory;    Chern-Simons theory;    opological solitons;   

DOI  :  10.1016/j.geomphys.2018.07.009

来源: Elsevier

【 摘 要 】

Existence of Maxwell-Chern-Simons-Higgs (MCSH) vortices in a Hermitian line bundle L over a general compact Riemann surface Sigma is proved by a continuation method. The solutions are proved to be smooth both spatially and as functions of the Chern-Simons deformation parameter kappa, and exist for all vertical bar kappa vertical bar = 1 is formulated. The Chern-Simons term is replaced by the integral over spacetime of A boolean AND F boolean AND omega(k-1), where omega is the Kahler form on Sigma. A topological lower bound on energy is found, attained by solutions of a deformed version of the usual vortex equations on Sigma. Existence, uniqueness and smoothness of vortex solutions of these generalized equations is proved, for vertical bar kappa vertical bar

【 授权许可】

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