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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Non-topological solutions in a generalized Chern-Simons model on torus
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References

SHOWING 1-10 OF 36 REFERENCES
Uniqueness of selfdual periodic Chern–Simons vortices of topological-type
  • 33
The existence of generalised self-dual Chern-Simons vortices
  • 4
Vortex condensation in the Chern-Simons Higgs model: An existence theorem
  • 191
  • Highly Influential
TOPOLOGICAL SOLUTIONS IN THE SELF-DUAL CHERN-SIMONS THEORY - EXISTENCE AND APPROXIMATION
  • 121
  • PDF
Double vortex condensates in the Chern-Simons-Higgs theory
  • 144
A nonlinear elliptic equation arising from gauge field theory and cosmology
  • 75
Generalized self-dual Chern-Simons vortices
  • 42
  • Highly Influential
  • PDF
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