Speaker
Davide Gaiotto
(Perimeter Institute, Waterloo)
Description
I will discuss the properties of boundary conditions of maximally supersymmetric Yang Mills theory compactified on a Riemann surface. Depending on the details of the compactification, this produces BAA branes (i.e. complex Lagrangian submanifolds) or BBB branes (i.e. hyper-holomorphic sheaves)
for the two-dimensional sigma model in the Hitchin moduli space. I will discuss the map from four-dimensional boundary conditions to two-dimensional boundary conditions
and the action of S-duality on the system. Mathematically, this construction provides collections of Geometric Langland dual pairs of objects.
