{"id":"openai-math/Thermal-FK-Ising-interfaces-and-massive-SLE","pdf":"https://github.com/openai/math/blob/main/preprints/Thermal-FK-Ising-interfaces-and-massive-SLE-October-5-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Thermal-FK-Ising-interfaces-and-massive-SLE-October-5-2026","tags":["probability","statistical-mechanics","sle","ising-model"],"score":0,"title":"Thermal FK–Ising interfaces and massive SLE","domain":"Probability and statistical mechanics","family":"223","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"We prove convergence of thermal FK–Ising interfaces, for every fixed nonzero mass of either sign, on uniformly angle-bounded isoradial lattices in bounded simply connected domains. The limit is independent of the lattice and the admissible domain approximation. For positive mass it is the unique massive SLE$`_{16/3}`$ law with locally finite-energy drift prescribed by a massive boundary value problem; negative mass follows by duality and reversal. The theorem also allows Carathéodory approximations whose diameters diverge.","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"}