  We give a provisional construction of the Kac-Moody Lie algebra module
structure on the hyperbolic restriction of the intersection cohomology complex
of the Coulomb branch of a framed quiver gauge theory, as a refinement of the
conjectural geometric Satake correspondence for Kac-Moody algebras proposed in
an earlier paper with Braverman, Finkelberg in 2019. This construction assumes
several geometric properties of the Coulomb branch under the torus action.
These properties are checked in affine type A, via the identification of the
Coulomb branch with a Cherkis bow variety established in a joint work with
Takayama.
