We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the main ideas of the bootstrap approach to quantum field theory, and how they apply to two-dimensional theories with local conformal symmetry. We describe the mathematical structures that appear in such theories, from the Virasoro algebra and its representations, to the BPZ equations and their solutions. As examples, we study a number of models: Liouville theory, (generalized) minimal models, free bosonic theories, the H3+ model, and WZW models.
|Copyright License||CC0 1.0 Universal Public Domain Dedication|
|Product Details||8.27 x 11.69 Standard Color Matte Perfect Bound|
|Page Count||127 pages|
|Type of Publication||Monograph (standalone)|
|Keywords||conformal field theory, conformal bootstrap, Virasoro algebra, BPZ equations, Liouville theory, minimal models, free bosons, KZ equations, KZ-BPZ relation, H3+ model, WZW models|