In this talk, I will discuss the Taubes-Pidstrygach generalisation of the Seiberg-Witten (SW) equations. In this generalisation, the spinor representation is replaced by a hyperKahler manifold admitting certain symmetries. Many well-known gauge theories like the Vafa-Witten equations, 5-instanton equations, the non-Abelian monopole equations etc. are special cases of this generalisation. I will show that for a family of hyperKahler manifolds, the solutions to the gen. SW can be interpreted in terms of almost-Hermitian metrics satisfying a second order PDE. Using this, I will talk about a Hitchin-Kobayashi-type correspondence for the equations on a Kahler surface. The novelty in this construction lies in the fact that the correspondence narrows down to studying the celebrated Kazdan-Warner equations. I will try to keep the talk elementary in nature, making it accessible to a wider audience.