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arXiv · hep-th/9507140

Polynomial Invariants for SU(2) Monopoles

J. M. F. Labastida·M. Mariño
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Abstract

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.

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J. M. F. Labastida, M. Mariño. 1995-11-23. Polynomial Invariants for SU(2) Monopoles. https://doi.org/10.1016/0550-3213(95)00536-0

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