Crossing Probabilities of Multiple Ising Interfaces
Mathematical Physics
2024-04-22 v4 math.MP
Probability
Abstract
We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLE(\kappa) with \kappa=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.
Keywords
Cite
@article{arxiv.1808.09438,
title = {Crossing Probabilities of Multiple Ising Interfaces},
author = {Eveliina Peltola and Hao Wu},
journal= {arXiv preprint arXiv:1808.09438},
year = {2024}
}
Comments
35 pages, 2 figures; v4(final) to appear in Ann. Appl. Probab