Polynomial Invariants for SU(2) Monopoles

الأصل · EN

We present an explicit expression for the topological invariants associated to SU(2) monopoles in the fundamental representation on spin four-manifolds. The computation of these invariants is based on the analysis of their corresponding topological quantum field theory, and it turns out that they can be expressed in terms of Seiberg-Witten invariants. In this analysis we use recent exact results on the moduli space of vacua of the untwisted N=1 and N=2 supersymmetric counterparts of the topological quantum field theory under consideration, as well as on electric-magnetic duality for N=2 supersymmetric gauge theories.