Connecting SLE and minisuperspace Liouville gravity

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that Fokker-Planck equation for chordal SLE process under a simple rescaling of the probability density can be traced to the minisuperspace Wheeler-de Witt equation for boundary operator in 2d Liouville gravity. Insertion of an operator, calculating SLE critical exponent, corresponds to adding matter contribution to WdW equation. This observation may be useful for understanding of why SLE critical exponents are given by KPZ gravitational scaling dimensions. Possible applications of the obtained relation are discussed.
12 pages, LaTeX

Keywords

High Energy Physics - Theory, Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/138597

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.3664
 http://arxiv.org/abs/0709.3664

Collections

arXiv