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From Representation Theory to Mathematical Physics and Back Marc D. Hauser ID "The book deals withThis volume is a proceedings of a workshop at the Simons Center for Geometry and Physics from May 31 June 4, 2022. The workshop highlighted progress in the areas of vertex operator algebras, conformal field theory, categorification, low dimensional topology and representation theory of affine Lie algebras, loop groups, and quantum groups. In the past 40 years, string theory gave rise to the mathematical theory of vertex operator algebras, which led to