Polynomial Invariants for SU(2) Monopoles

Details Polynomial Invariants for SU(2) Monopoles Polynomial Invariants for SU(2) Monopoles

1995-07-26

arxiv.org/abs/hep-th/9507140v3

Nucl.Phys. B456 (1995) 633-668

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, uses phyzzx.tex, a minor tex problem has been fixed

Scientific paper

10.1016/0550-3213(95)00536-0

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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