Special Geometry Seminar

Three dimensional gauge theories (with N=4 or N=2 supersymmetries) have played an important role in recent mathematical work on symplectic duality and related topics. I will explain how to construct from such three dimensional theories a vertex algebra of operators that lives at the boundary. Dualities (such as symplectic duality) become, conjecturally, isomorphisms of vertex algebras. I will explain a conjecture (joint with Gaiotto and Creutzig) that the derived center of the boundary vertex algebra is the algebra of Coulomb branch operators constructed by Braverman, Finkelberg and Nakajima.