Classification of solutions for self-dual Chern-Simons CP (1) model

Jann Long Chern, Zhi You Chen*, Hung Ying Shen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number031510
JournalJournal of Mathematical Physics
Volume62
Issue number3
DOIs
Publication statusPublished - 2021 Mar 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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