{"id":"openai-math/Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces","pdf":"https://github.com/openai/math/blob/main/preprints/Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces-October-5-2026/quenched-fk-ising.pdf","url":"https://github.com/openai/math/tree/main/preprints/Quenched-SLE-Universality-for-Weakly-Disordered-FK-Ising-Interfaces-October-5-2026","tags":["probability","sle","ising-model","disordered-systems"],"score":0,"title":"Quenched SLE Universality for Weakly Disordered FK–Ising Interfaces","domain":"Probability and statistical mechanics","family":"223","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"We prove that critical FK–Ising interfaces with sufficiently weak, symmetric, independent two-valued bond disorder converge to chordal SLE 16/3 . The disorder strength is fixed as the mesh tends to zero, and convergence of the conditional curve laws holds in probability over the environment.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Random-cluster interfaces: critical, disordered, thermal, and natural-time scaling"}