High Energy Theory Seminar

I will discuss some aspects of three-dimensional topological Chern-Simons theories with a Lie supergroup as a gauge group. These theories are similar to ordinary Chern-Simons, but also have some distinctive features. I will describe, how one can define non-trivial observables in these theories. Supergroup Chern-Simons theory can be realized by brane constructions. This allows to use various string theory dualities to obtain interesting results on topological field theories. In particular, I will show, how mirror symmetry in three-dimensions relates the well-known Reidemeister torsion to Seiberg-Witten invariants.