Gaussian free field and conformal field theory
Nam-Gyu Kang, Nikolai Makarov
TL;DR
This paper provides an elementary introduction to conformal field theory using probability and complex analysis, explaining key equations and their relation to SLE theory.
Contribution
It offers an accessible exposition connecting conformal field theory with probability and complex analysis, highlighting Ward functionals and their relation to SLE.
Findings
Explanation of Ward functionals in conformal field theory
Outline of equations linking CFT to probability theory
Relation between CFT and Schramm-Loewner Evolution (SLE)
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.
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Taxonomy
TopicsProbability and Statistical Research · Stochastic processes and statistical mechanics · Stochastic processes and financial applications