Liouville Vortex And ${\phi }^4$ Kink Solutions Of The Seiberg--Witten Equations

Serdar Nergiz, Cihan Saclioglu

The Seiberg--Witten equations, when dimensionally reduced to $\bf R^{2}\mit$, naturally yield the Liouville equation, whose solutions are parametrized by an arbitrary analytic func…