  We show that the action of residual supersymmetries in
holomorphic-topological twists of $N = 2$ theories in three dimensions
naturally extends to the action of certain infinite dimensional Lie
superalgebras. We demonstrate this in a range of examples, including $N = 4$
Yang-Mills theories and superconformal Chern-Simons theories, describing how
the symmetries are implemented at the level of local operators.
