{"id":"openai-math/SLE3-universality-for-weak-finite-range-Ising-interactions","pdf":"https://github.com/openai/math/blob/main/preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/SLE3-universality-for-weak-finite-range-Ising-interactions-September-23-2026","tags":["probability","statistical-mechanics","ising-model"],"score":0,"title":"SLE3 universality for weak finite-range Ising interactions","domain":"Probability and statistical mechanics","family":"218","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"We prove that every sufficiently small, square-symmetric finite-range perturbation of the planar Ising contour energy has a domain-independent inverse temperature at which its spin interface converges to chordal SLE 3 . The result allows interactions of either sign, arbitrary admissible exterior contours, and uniformly approximated Jordan domains. Convergence holds for the full oriented curve law in uniform distance modulo increasing reparametrization.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Conformal universality for weakly interacting and random-bond Ising models"}