Gaussian free field and conformal field theory
By: Nam-Gyu Kang, Nikolai G. Makarov
Contributors: Makarov, Nikolai G., author
Series: Astérisque -- 353; Astérisque -- 353.
Publisher: Société mathématique de France
Published: 2013
Place of publication: Paris, France
Language: eng
Number of pages: 136
ISBN-13: 9782856293690
Subjects: Conformal invariants; Algebraic fields; Gaussian distribution
Description: "In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probablility theory and complex analysis.  We consider statistical fields, and define Ward functionals in terms of their Lie derivatives.  Based on this approach, we explain some equations of conformal field theory and outline their relation to SLE theory."--Page iii.
Notes: "Publié avec le concours du Centre national de la recherche scientifique."

Includes bibliographical references (pages 131-134) and index.

In English ; with abstract in French.
Table of contents: title: Fock space fields; title: Fock space fields as (very) generalized randon functions; title: Operator product expansion; title: Conformal geometry of Fock space fields; title: Stress tensor and Ward's identities; title: Ward's identities for finite Boltzmann-Gibbs ensembles; title: Virasoro field and representation theory; title: Existence of the Virasoro field; title: Operator algebra formalism; title: Modifications of the Gaussian free field; title: Current primary fields and KZ equations; title: Multivalued conformal Fock space fields; title: CFT ans SLE numerology; title: Connection to SLE theory; title: Vertex observables .