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Explore categorical tools essential for understanding low-dimensional quantum field theories in this advanced physics 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. Examine the description of non-invertible symmetries through topological domain walls, investigate variants of string-net models, and learn construction methods for correlators in two-dimensional conformal field theories. Access comprehensive course materials including detailed notes and references to support your understanding of these sophisticated mathematical concepts. Benefit from instruction designed for audiences with diverse backgrounds in mathematics and theoretical physics, requiring only basic familiarity with algebra, representation theory, and elementary topology, though prior exposure to quantum mechanics and quantum field theory concepts will enhance appreciation of the applications.
