The Moduli Space and Monodromies of N=2 Supersymmetric $SO(2r+1) $ Yang-Mills Theory

Ulf H. Danielsson; Bo Sundborg

doi:10.1016/0370-2693(95)01010-n

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arXiv · hep-th/9504102

The Moduli Space and Monodromies of N=2 Supersymmetric $SO(2r+1) $ Yang-Mills Theory

Ulf H. Danielsson·Bo Sundborg

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Abstract

We write down the weak-coupling limit of N=2 supersymmetric Yang-Mills theory with arbitrary gauge group $ G $. We find the weak-coupling monodromies represented in terms of $ Sp(2r,\bzeta ) $ matrices depending on paths closed up to Weyl transformations in the Cartan space of complex dimension r, the rank of the group. There is a one to one relation between Weyl orbits of these paths and elements of a generalized braid group defined from $ G $. We check that these weak-coupling monodromies behave correctly in limits of the moduli space corresponding to restrictions to subgroups. In the case of $SO(2r+1)$ we write down the complex curve representing the solution of the theory. We show that the curve has the correct monodromies.

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Ulf H. Danielsson, Bo Sundborg. 1995-04-20. The Moduli Space and Monodromies of N=2 Supersymmetric $SO(2r+1) $ Yang-Mills Theory. https://doi.org/10.1016/0370-2693(95)01010-n

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