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Regular version of the site

Article

Gaiotto–Witten superpotential and Whittaker D-modules on monopoles

Advances in Mathematics. 2016. Vol. 300. P. 451-472.
Braverman A., Dobrovolska G., Finkelberg M. V.

Let G be an almost simple simply connected group over C. For a positive element α of the coroot lattice of G let View the MathML source denote the space of maps from P1 to the flag variety B of G sending ∞∈P1 to a fixed point in B of degree α. This space is known to be isomorphic to the space of framed G -monopoles on R3 with maximal symmetry breaking at infinity of charge α. In [6] a system of (étale, rational) coordinates on Z source is introduced. In this note we compute various known structures on  Z source in terms of the above coordinates. As a byproduct we give a natural interpretation of the Gaiotto–Witten superpotential studied in [8] and relate it to the theory of Whittaker D-modules discussed in [9].