S-duality and mirror symmetry in Chern-Simons theory
Seminar Room 1, Newton Institute
I will present joint work with S. Gukov on S-duality in three-dimensional Chern-Simons theories. Upon analytic continuation, the Chern-Simons "level" k can be taken to be an arbitrary complex number. Then, both Chern-Simons wavefunctions and certain operators that annihilate them acquire a certain symmetry under the inversion of k (S-duality). In terms of the operators, this can be understood in terms of mirror symmetry acting on branes in a hyperkahler space (a Hitchin moduli space).