Configurations of FK Ising interfaces and hypergeometric SLE
Mathematical Physics
2017-04-11 v1 math.MP
Probability
Abstract
In this paper, we show that the interfaces in FK Ising model in any 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 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 a hSLE curve and a chordal SLE (in a random domain defined by the hSLE).
Keywords
Cite
@article{arxiv.1704.02823,
title = {Configurations of FK Ising interfaces and hypergeometric SLE},
author = {Antti Kemppainen and Stanislav Smirnov},
journal= {arXiv preprint arXiv:1704.02823},
year = {2017}
}
Comments
8 pages, 2 figures