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Gaussian free field and conformal field theory / Nam-Gyu Kang, Nikolai G. Makarov.
| Author/creator | Kang, Nam-Gyu author. |
| Other author | Makarov, Nikolai G. author. |
| Format | Book |
| Manufacture | Paris : Société mathématique de France, 2013. |
| Description | vii, 136 pages : illustrations ; 24 cm. |
| Subjects |
| Series | Astérisque, 0303-1179 ; 353 Astérisque 353. ^A682305 |
| Contents | Fock space fields -- Fock space fields as (very) generalized randon functions -- Operator product expansion -- Conformal geometry of Fock space fields -- Stress tensor and Ward's identities -- Ward's identities for finite Boltzmann-Gibbs ensembles -- Virasoro field and representation theory -- Existence of the Virasoro field -- Operator algebra formalism -- Modifications of the Gaussian free field -- Current primary fields and KZ equations -- Multivalued conformal Fock space fields -- CFT ans SLE numerology -- Connection to SLE theory -- Vertex observables . |
| Abstract | 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. |
| Bibliography note | Includes bibliographical references (p. [131]-134) and index. |
| Language | In English; with abstract in French. |
| ISBN | 9782856293690 (print) |
| ISBN | 2856293697 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QC174.52.C66 K36 2013 | ✔ Available | Place Hold |