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Abstract

We are concerned with the bosonic sector of an $N = 2$ supersymmetric Chern–Simons–Higgs theory in $2 + 1$ dimensions. Here the gauge group is $SU (N) \times U (1)$ and has $N_{f}$ flavors of fundamental matter fields. Recently, Chen, Han, Lozano, Schaposnik showed the existence of two gauge-distinct solutions carrying the same physical energy on a two dimensional flat torus. In this paper, we find a solution which has a different asymptotic behavior from Chen, Han, Lozano, Schaposnik’s result.

Keywords

Non-Abelian Chern–Simons–Higgs vortices nonlinear elliptic PDE system doubly periodic solutions

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Doubly periodic mixed type solution of Non-Abelian Chern–Simons–Higgs vortices with flavor

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