  Let $X$ be a smooth scheme with an action of a reductive algebraic group $G$
over an algebraically closed field $k$ of characteristic zero. We construct an
action of the extended affine Braid group on the $G$-equivariant absolute
derived category of matrix factorizations on the Grothendieck variety times
$T^*X$ with potential given by the Grothendieck-Springer resolution times the
moment map composed with the natural pairing.
