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Explore the construction of two-dimensional conformal field theories (2D CFTs) at the boundary of topological field theories (TFTs) in this advanced mathematical physics seminar. Delve into the theoretical framework that connects topological field theories with conformal field theories, examining how boundary conditions in TFTs can give rise to rich 2D CFT structures. Learn about the mathematical machinery underlying this "factory" approach to generating conformal field theories, including the role of boundary states, operator algebras, and the interplay between topological and conformal symmetries. Investigate specific examples and applications of this construction method, understanding how different TFT backgrounds can produce various classes of 2D CFTs with distinct properties. Gain insights into the broader implications for quantum field theory, string theory, and condensed matter physics, where such boundary constructions play crucial roles in understanding phase transitions and critical phenomena.
