AG Lie-Gruppen: Tomoyuki Arakawa, Kyoto University: 4D/2D Duality and Representation Theory

4D/2D Duality and Representation Theory – Vortragender: Tomoyuki Arakawa, Kyoto
University – Einladender: K.-H. Neeb

Abstract:
This talk is about some recent physical theory (4D/2D duality) that relates
representations of some algebras (VOAs) with theoretical physics (4 dimensional
N=2 superconformal field theory) and geometry (symplectic singularities). More
precisely, I will talk about the 4D/2D duality discovered by Beem et al. that
associates a VOA to any 4 dimensional N=2 superconformal field theory. The
corresponding VOA has many interesting properties, and in particular, it may be
regarded as a refinement of the Higgs branch of the 4D theory, which is
believed to be a symplectic singularities.