The goal of this talk is to explain a new class of non-semisimple topological field theories in three dimensions. These theories model the homologically truncated Rozansky-Witten theory of a linear holomorphic symplectic manifolds gauged by an abelian Chern-Simons theory. The construction is based on the quantum representation theory of a relatively simple class of Lie superalgebras introduced by Gaiotto and Witten in the context of four dimensional supersymmetric gauge theory. Based on joint work with Niklas Garner and Nathan Geer.