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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2013; 50(4): 899-916

Printed July 1, 2013

https://doi.org/10.4134/JKMS.2013.50.4.899

Copyright © The Korean Mathematical Society.

Conformal field theory of dipolar SLE(4) with mixed boundary condition

Nam-Gyu Kang

Seoul National University

Abstract

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We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlation functions of the fields in the OPE family of Gaussian free field with a certain boundary value are martingale-observables for dipolar SLE(4).

Keywords: dipolar conformal field theory, martingale-observables, dipolar SLE

MSC numbers: Primary 60J67, 81T40; Secondary 30C35

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