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arXiv · 1704.02823

Configurations of FK Ising interfaces and hypergeometric SLE

Antti Kemppainen·Stanislav Smirnov
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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).

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Antti Kemppainen, Stanislav Smirnov. 2017-04-10. Configurations of FK Ising interfaces and hypergeometric SLE. https://arxiv.org/abs/1704.02823

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