• DOI:10.1016/J.NONRWA.2013.09.009
Corpus ID: 119691898

Existence of Doubly Periodic Vortices in a Generalized Chern--Simons Model

@article{Han2012ExistenceOD,
  title={Existence of Doubly Periodic Vortices in a Generalized Chern--Simons Model},
  author={X. Han},
  journal={arXiv: Mathematical Physics},
  year={2012}
}

• X. Han
• Published 2012
• Mathematics, Physics
• arXiv: Mathematical Physics

We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parameter such that there exits self-dual doubly periodic vortex solutions for the generalized self-dual Chern--Simons equation if and only if the coupling parameter is less than or equal to the value. The energy, magnetic flux, and electric charge associated to the field configurations are all specifically quantized. By… Expand

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