Integrability of Chern–Simons–Higgs and Abelian Higgs vortex equations in a background metric

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Abstract

The equations for Chern–Simons–Higgs and Abelian Higgs vortices are reformulated in a certain form of background metric. Painlevé analysis is applied to determine integrability of the equations, and explicit solutions for cylindrically symmetric Chern–Simons–Higgs vortices are found for a specific choice of the metric.
Original languageAmerican English
Pages (from-to)753-753
JournalJournal of Mathematical Physics
Volume32
Issue number3
StatePublished - 1991

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