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- W2073759834 abstract "Vortices in non-Abelian gauge field theory play important roles in confinement mechanism and are governed by systems of nonlinear elliptic equations of complicated structures. In this paper, we present a series of existence and uniqueness theorems for multiple vortex solutions of the BPS vortex equations, arising in the dual-layered Chern–Simons field theory developed by Aharony, Bergman, Jafferis, and Maldacena, over $${mathbb{R}^2}$$ and on a doubly periodic domain. In the full-plane setting, we show that the solution realizing a prescribed distribution of vortices exists and is unique. In the compact setting, we show that a solution realizing n prescribed vortices exists over a doubly periodic domain $${Omega}$$ if and only if the condition $$n < frac{lambda |Omega|}{2 pi}$$ holds, where $${lambda >0 }$$ is the Higgs coupling constant. In this case, if a solution exists, it must be unique. Our methods are based on calculus of variations." @default.
- W2073759834 created "2016-06-24" @default.
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- W2073759834 date "2012-11-03" @default.
- W2073759834 modified "2023-10-05" @default.
- W2073759834 title "Multiple Vortices in the Aharony–Bergman–Jafferis–Maldacena Model" @default.
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- W2073759834 doi "https://doi.org/10.1007/s00023-012-0209-5" @default.
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