This is the first complete textbook on conformal field theory. Intended primarily for graduate students and researchers in theoretical and mathematical physics, it will also be of interest to students and researchers in condensed matter theory, statistical physics, and other areas of theoretical physics and mathematics. The book develops the theory from first principles, providing many proofs and exercises.

Inhalt
A Introduction.- 1 Introduction.- 2 Quantum Field Theory.- 3 Statistical Mechanics.- B Fundamentals.- 4 Global Conformal Invariance.- 5 Conformal Invariance in Two Dimensions.- 6 The Operator Formalism.- 7 Minimal Models I.- 8 Minimal Models II.- 9 The Coulomb-Gas Formalism.- 10 Modular Invariance.- 11 Finite-Size Scaling and Boundaries.- 12 The Two-Dimensional Ising Model.- C Conformal Field Theories with Lie-Group Symmetry.- 13 Simple Lie Algebras.- 14 Affine Lie Algebras.- 15 WZW Models.- 16 Fusion Rules in WZW Models.- 17 Modular Invariants in WZW Models.- 18 Cosets.- References.