Introduction to Conformal Field Theory

Learn the fundamental principles and mathematical framework of conformal field theory through this comprehensive lecture series spanning over 14 hours of instruction by Tobias Osborne. Master the theoretical foundations that underpin critical phenomena in statistical mechanics and quantum field theory, exploring conformal transformations, operator product expansions, and the conformal bootstrap approach. Develop proficiency in analyzing scale-invariant quantum field theories and their applications to condensed matter physics, string theory, and statistical systems at critical points. Work through mathematical techniques including complex analysis on Riemann surfaces, representation theory of conformal algebras, and correlation function calculations. Examine specific conformal field theory models and their physical interpretations across ten structured lectures that build systematically from basic concepts to advanced applications in theoretical physics.