A Dual version of Narsimhan-Seshadri Theorem in Seiberg-Witten Gauge Theories

As Narsimhan-Seshadri Theorem can be proved via SU(2)- (Anti) Self-dual Yang-Mills Gauge Theory over Riemann Surfaces via methods of Donaldson, we tried to understand the status of the theorem in other ”dual” (the term "dual" will be specified in the lecture as a certain kind of Langlands duality.) Gauge Theories, specifically to (may be Non abelian) Seiberg-Witten Gauge Theories, and in doing so we study a specific kind of Moduli Problem, namely "Moduli of Higgs Bundles " arising from N = 2 Twisted Supersymmetry of Witten.