Liouville Vortex And φ⁴ Kink Solutions Of The Seiberg--Witten Equations

1996/02/16 by Serdar Nergiz, Cihan Saclioglu, Cihan Saçlıog̃lu · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1063/1.531628

published as J.Math.Phys. 37 (1996) 3753-3759 · 14 pages, Latex

arxiv created 1996/02/16 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

Abstract

The Seiberg--Witten equations, when dimensionally reduced to \bf R²\mit, naturally yield the Liouville equation, whose solutions are parametrized by an arbitrary analytic function g(z). The magnetic flux Φ is the integral of a singular Kaehler form involving g(z); for an appropriate choice of g(z) , N coaxial or separated vortex configurations with Φ=(2πN)/(e) are obtained when the integral is regularized. The regularized connection in the \bf R¹\mit case coincides with the kink solution of φ⁴ theory.

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• N=2supersymmetric model with Dirac-Kähler fermions from generalized gauge theory in two dimensions