The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case of a K\"ahler surface. We find an explicit algebro-geometric construction of the moduli space. In the course of our construction, we prove an existence and uniqueness result for a generalization of the Kazdan-Warner equation.
BRYAN, James A. and WENTWORTH, Richard (1996) "The Multi-monopole Equations for K\"ahler Surfaces," Turkish Journal of Mathematics: Vol. 20: No. 1, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol20/iss1/9