Categorical Tools in Low-Dimensional Quantum Field Theory - Lecture 5

Explore categorical tools essential for understanding low-dimensional quantum field theories in this advanced lecture delivered by Professor Jürgen Fuchs from Karlstad University. Delve into mathematical structures crucial for studying two-dimensional conformal field theories and topological field theories, with applications extending to exotic phases of matter. Learn about non-invertible symmetries through topological domain walls, examine variants of string-net models, and discover construction methods for correlators in two-dimensional conformal field theories. The lecture assumes basic familiarity with algebra, representation theory, and elementary topology, while prior exposure to quantum mechanics and quantum field theory concepts will enhance appreciation of the applications. Access detailed course notes and supplementary materials through the provided BIMSA webpage, and follow the complete lecture series through the accompanying playlist to build comprehensive understanding of these advanced mathematical physics concepts.