Work

Crossing probabilities of multiple Ising interfaces

Year: 2023

Type: article

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 SLEκ with κ=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.

Source: The Annals of Applied Probability

DOI: 10.1214/22-aap1888

Authors: Eveliina Peltola, Hao Wu

Institutions: Aalto University, Tsinghua University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid