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

Article type: Research Article

Authors: Kwon, Ohsang^a | Lee, Youngae^{b; *}

Affiliations: [a] Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk 362-763, Korea. E-mail: ohsangkwon@chungbuk.ac.kr | [b] Department of Mathematics Education, Teachers College, Kyungpook National University, Daegu, South Korea. E-mail: youngaelee@knu.ac.kr

Correspondence: [*] Corresponding author. E-mail: youngaelee@knu.ac.kr.

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)×U(1) and has Nf 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

DOI: 10.3233/ASY-181490

Journal: Asymptotic Analysis, vol. 109, no. 3-4, pp. 193-207, 2018