Enhanced symmetries in minimally-twisted three-dimensional supersymmetric theories

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.