Configurations of FK Ising interfaces and hypergeometric SLE

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http://hdl.handle.net/10138/311738

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Kemppainen , A & Smirnov , S 2018 , ' Configurations of FK Ising interfaces and hypergeometric SLE ' , Mathematical Research Letters , vol. 25 , no. 3 , pp. 875-889 . https://doi.org/10.4310/MRL.2018.v25.n3.a7

Title: Configurations of FK Ising interfaces and hypergeometric SLE
Author: Kemppainen, Antti; Smirnov, Stanislav
Contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2018
Language: eng
Number of pages: 15
Belongs to series: Mathematical Research Letters
ISSN: 1073-2780
URI: http://hdl.handle.net/10138/311738
Abstract: In this paper, we show that the interfaces in the FK Ising model at criticality in a domain with 4 marked boundary points and wired-free-wired-free boundary conditions conditioned on a specific internal arc configuration of interfaces converge in the scaling limit to the hypergeometric SLE (hSLE). The arc configuration consists of a pair of interfaces and the scaling limit of their joint law can be described by an algorithm to sample the pair from an hSLE curve and a chordal SLE (in a random domain defined by the hSLE).
Subject: SCALING LIMITS
CONFORMAL-INVARIANCE
LOEWNER EVOLUTIONS
CURVES
MODEL
111 Mathematics
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