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In the last few decades, various Chern-Simons field theories have been studied, largely motivated by their applications to the physics of high-critical-temperature superconductivity. These Chern-Simons theories can be reduced to systems of nonlinear partial differential equations, which have posed many mathematically challenging problems for analysts. For the abelian case, the relativistic Chern-Simons model was proposed by Jakiw and Weinberg [10] and by Hong, Kim, and Pac [9]. The energy minimizer of this model satisfies a Bogomol'nyĭ-type system of first-order differential equations. |
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