Abstract
It is shown that there is a critical value of the Chern-Simons coupling parameter so that, below the value, there exists self-dual doubly periodic vortex solutions, and, above the value, the vortices are absent. Solutions of such a nature indicate the existence of dyon condensates carrying quantized electric and magnetic charges.
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Caffarelli, L.A., Yang, Y. Vortex condensation in the Chern-Simons Higgs model: An existence theorem. Commun.Math. Phys. 168, 321–336 (1995). https://doi.org/10.1007/BF02101552
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DOI: https://doi.org/10.1007/BF02101552