4D/2D Duality and Representation Theory in Quantum Field Theory

Explore the fascinating 4D/2D duality discovered by Beem et al. in this 52-minute lecture by Tomoyuki Arakawa at the Centre de recherches mathématiques (CRM). Delve into the association between 4-dimensional N = 2 superconformal field theories and vertex operator algebras (VOAs), examining the conjecture that the resulting VOA serves as a complete invariant of the 4-dimensional theory. Investigate the representation theory of these VOAs, which can be viewed as chiralizations of various symplectic singularities. Learn about the implications of this duality for quantum symmetries, tensor categories, and topological quantum field theories as part of the Workshop on Quantum Symmetries held in October-November.

Tomoyuki Arakawa: 4D/2D duality and representation theory