Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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UNIQUENESS OF TOPOLOGICAL SOLUTIONS FOR THE GUDNASON MODEL

  • Kim, Soojung (Department of Mathematics Soongsil University) ;
  • Lee, Youngae (Department of Mathematics Education Teachers College Kyungpook National University)
  • Received : 2020.05.23
  • Accepted : 2020.09.21
  • Published : 2021.07.01
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Abstract

In this paper, we consider the Gudnason model of 𝒩 = 2 supersymmetric field theory, where the gauge field dynamics is governed by two Chern-Simons terms. Recently, it was shown by Han et al. that for a prescribed configuration of vortex points, there exist at least two distinct solutions for the Gudnason model in a flat two-torus, where a sufficient condition was obtained for the existence. Furthermore, one of these solutions has the asymptotic behavior of topological type. In this paper, we prove that such doubly periodic topological solutions are uniquely determined by the location of their vortex points in a weak-coupling regime.

Keywords

Acknowledgement

S. Kim was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. NRF-2018R1C1B6003051). Y. Lee was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. NRF-2018R1C1B6003403).

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