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Liouville vortex and cursive-phi4 kink solutions of the Seiberg–Witten equations (1996)

Nergiz, Serdar ; Saçl(small i, no dot)og˜lu, Cihan

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 37 (1996), S. 3753-3759

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The Seiberg–Witten equations, when dimensionally reduced to R2, 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 R1 case coincides with the kink solution of cursive-phi4 theory. © 1996 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.531628

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