Relativistic Chern–Simons–Higgs vortex equations

Han, Xiaosen; Yang, Yisong

doi:10.1090/tran/6746

Relativistic Chern–Simons–Higgs vortex equations
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by Xiaosen Han and Yisong Yang PDF

Trans. Amer. Math. Soc. 368 (2016), 3565-3590 Request permission

Abstract:

An existence theorem is established for the solutions to the non-Abelian relativistic Chern–Simons–Higgs vortex equations over a doubly periodic domain when the gauge group $G$ assumes the most general and important prototype form, $G=SU(N)$.

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