Conformal field theory on the plane
Field of study
Physical Sciences and Mathematics
Physics
Elementary Particles and Fields and String Theory
Conformal field theory on the plane
Sylvain Ribault
Field of study
Physical Sciences and Mathematics
Physics
Elementary Particles and Fields and String Theory
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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
Audience Scholarly
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