Categorical Tools in Low-Dimensional Quantum Field Theory - Lecture 1

Explore categorical tools essential for understanding low-dimensional quantum field theories in this comprehensive lecture series by theoretical physicist Jürgen Fuchs from Karlstad University. Delve into mathematical structures crucial for studying two-dimensional conformal field theories and topological field theories, with applications to exotic phases of matter. Learn about non-invertible symmetries through topological domain walls, string-net model variants, and correlator constructions in two-dimensional conformal field theories. Master fundamental concepts requiring only basic algebra, representation theory, and elementary topology, though prior exposure to quantum mechanics and quantum field theory enhances appreciation of applications. Access detailed lecture notes and supplementary materials through the provided BIMSA course webpage, and follow the complete 11-lecture series through the dedicated playlist to build expertise in this specialized intersection of mathematics and theoretical physics.