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Gaussian free field and conformal field theory

Kang, Nam-Gyu and Makarov, Nikolai G. (2013) Gaussian free field and conformal field theory. Astérisque, 353 . pp. 1-136. ISSN 0303-1179. https://resolver.caltech.edu/CaltechAUTHORS:20131119-095918059

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Abstract

In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probability 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1101.1024arXivDiscussion Paper
http://smf4.emath.fr/en/Publications/Asterisque/2013/353/html/smf_ast_353.phpPublisherArticle
Alternate Title:Champs gaussiens libres et théorie conforme des champs
Additional Information:© 2013 Astérisque 353, SMF.
Funders:
Funding AgencyGrant Number
NRF2010-0021628
Seoul National University Research Settlement Fund for new facultyUNSPECIFIED
NSF1101735
Subject Keywords:Conformal field theory, Schramm-Loewner Evolution
Classification Code:Mathematics Subject Classification: Primary 60J67, 81T40; Secondary 30C35
Record Number:CaltechAUTHORS:20131119-095918059
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131119-095918059
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42561
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Nov 2013 22:24
Last Modified:03 Oct 2019 05:59

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