On Malliavin measures, SLE, and CFT

M. Kontsevich; Y. Suhov

doi:10.1134/S0081543807030108

On Malliavin measures, SLE, and CFT

M. Kontsevich, Y. Suhov

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This paper is dedicated to the 70th birthday of V. Arnol'd. The paper is motivated by emerging connections between the conformal field theory (CFT) on the one hand and stochastic Löwner evolution (SLE) processes and measures that play the role of the Haar measures for the diffeomorphism group of a circle, on the other hand. We attempt to build a framework for widely spread beliefs that SLE processes would provide a picture of phase separation in a small massive perturbation of the CFT.

Original language	English (US)
Pages (from-to)	100-146
Number of pages	47
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	258
Issue number	1
DOIs	https://doi.org/10.1134/S0081543807030108
State	Published - Sep 2007

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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On Malliavin measures, SLE, and CFT

Abstract

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