Symmetric Orbifold CFTs and Their Topological Defect Lines

Explore symmetric orbifold conformal field theories and their topological defect lines in this advanced mathematical physics seminar delivered by Professor Michael Gutperle from the University of California, Los Angeles. Delve into the intricate mathematical structures that arise when studying conformal field theories under symmetric group actions, examining how orbifold constructions create new CFTs from existing ones. Investigate the properties and classifications of topological defect lines within these symmetric orbifold frameworks, understanding their role in characterizing the algebraic and geometric features of these quantum field theories. Learn about the mathematical tools and techniques used to analyze these defect structures, including their fusion rules, braiding properties, and connections to representation theory. Gain insights into current research developments in this specialized area of theoretical physics, particularly relevant to understanding quantum field theories with boundaries, impurities, and defects. This presentation forms part of the broader research program examining quantum field theory with various types of boundary conditions and defect structures, providing essential background for researchers working in conformal field theory, string theory, and mathematical physics.