Conformal Field Theory - Virasoro Algebra, Wess-Zumino-Witten Models, and W-Algebras

Attend a comprehensive workshop series on conformal field theory and integrable systems designed for young researchers in mathematical physics. Master the fundamental concepts of the Virasoro algebra and its representations before progressing to advanced topics including fields, correlation functions, and BPZ equations for free bosons. Explore conformal bootstrap techniques, fusion rules, and minimal models while developing expertise in modular bootstrap methods. Delve into Wess-Zumino-Witten models through four detailed sessions covering their mathematical structure and physical applications. Study W-algebras across four progressive parts, examining their role in extended conformal symmetries and their connections to integrable systems. Investigate Liouville theory and its significance in two-dimensional quantum gravity and string theory. Examine various deformation techniques in conformal field theory through multiple sessions covering both theoretical foundations and practical applications. Learn about boundaries and defects in conformal field theories, including their mathematical treatment and physical interpretation across four comprehensive sessions. Gain hands-on experience with advanced mathematical tools and computational techniques used in modern research on integrable quantum field theories and their applications to statistical mechanics and string theory.