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Explore advanced categorical tools used in low-dimensional quantum field theory through this tenth lecture in an eleven-part series by theoretical physicist Jürgen Fuchs from Karlstad University. Delve into mathematical structures essential for understanding two-dimensional conformal field theories and topological field theories, with applications to exotic phases of matter. Examine the description of non-invertible symmetries using topological domain walls, investigate variants of string-net models, and learn about correlator constructions in two-dimensional conformal field theories. Access detailed lecture notes and supplementary materials through the provided links, including comprehensive course notes and references. Build upon basic algebra, representation theory, and elementary topology knowledge while gaining insights into quantum mechanics and quantum field theory applications. Follow along with the complete lecture series through the dedicated playlist to develop a thorough understanding of categorical approaches to low-dimensional quantum field theory.
