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In this paper, we consider the nonlinear equation arising from the Chern–Simons theory of planar matter fields interacting with the Chern–Simons gauge field in a CP(1) invariant fashion. Then, we… Click to show full abstract
In this paper, we consider the nonlinear equation arising from the Chern–Simons theory of planar matter fields interacting with the Chern–Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of flux for non-topological solutions and prove the classification of solutions of all types in the case of one vortex point. Moreover, we also give the complete result of Theorem 1.3 in the work by Choe et al. [J. Differ. Equations, 255, 2136 (2013)] from Theorem 1.4(ii) as follows.
Keywords:
dual chern;
chern simons;
self dual;
classification solutions;
solutions self
Journal Title: Journal of Mathematical Physics
Year Published: 2021
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Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!