| Abstract: | It is shown that the general local solution of the self-duality equation with SU(1,1) and SU(2) gauge groups is associated with some algebraic curve with moving branch points if the related “monodromy matrix” is rational. The “multisoliton” solutions including monopoles and instantons, correspond to degenerate curves when the branch cuts collapse to double points. Bibliography:18 titles. Dedicated to L. D. Faddeev on the occasion of his 60th birthday Published inZapiski Nauchnykh Seminarov POMI, Vol. 215, 1994, pp. 197–216. Translated by D. A. Korotkin. |
