The moduli space and monodromies of N = 2 supersymmetric SO(2r + 1) Yang-Mills theory

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, Z) 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.