Liouville vortex and phi(4) kink solutions of the Seiberg-Witten equations

The Seiberg-Witten equations, when dimensionally reduced to R(2), naturally yield the Liouville equation, whose solutions are parametrized by an arbitrary analytic function g(z). The magnetic flux Phi 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 Phi=2 pi N/e are obtained when the integral is regularized. The regularized connection in the R(1) case coincides with the kink solution of phi(4) theory. (C) 1996 American Institute of Physics.