Séminaire de Géométrie et Topologie

Topological field theories from Gaiotto-Witten Lie superalgebras

by Prof. Matt Young


The goal of this talk is to give an introductory account of a new class of non-semisimple topological field theories in three dimensions. These theories are defined using the quantum representation theory of a Lie superalgebra constructed by Gaiotto and Witten from a symplectic representation of a torus and include homological truncations of various supergroup Chern-Simons theories and equivariant Rozansky-Witten theories. Based on work with Niklas Garner and Nathan Geer.