  We construct new examples of derived autoequivalences for a family of
higher-dimensional Calabi-Yau varieties. Specifically, we take the total spaces
of certain natural vector bundles over Grassmannians G(r,d) of r-planes in a
d-dimensional vector space, and define endofunctors of the bounded derived
categories of coherent sheaves associated to these varieties. In the case r=2
we show that these are autoequivalences using the theory of spherical functors.
Our autoequivalences naturally generalize the Seidel-Thomas spherical twist for
analogous bundles over projective spaces.
