{"id":"hexagon/2610.00453","pdf":"https://hexagonmath.org/pdf/2610.00453v1","url":"https://hexagonmath.org/abs/2610.00453v1","tags":["math.MP","msc:82B20"],"score":0,"title":"Faster-than-power-law decay of order parameter correlations in the two-dimensional RP2 model: a rigorous result by vibe-proving","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Masaki Oshikawa"],"reviews":0,"subject":"math-ph","summary":"We consider the $RP^2$ model on the two-dimensional square lattice with nearest-neighbor interactions. It is obtained by replacing the spin in the standard classical Heisenberg model with a director, which does not distinguish two opposite directions. Unlike the standard classical Heisenberg model or the O(3) nonlinear sigma model, the $RP^2$ (and its cousin $RP^3$) model allows point vortex defects classified by $\\pi_1(RP^2)=Z_2$ in two dimensions. It is tempting to expect the $Z_2$ vortices to induce a phase transition analogous to the well-established Berezinskii-Kosterlitz-Thouless…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","Claude Opus"],"discussed":0,"published":"2026-10-22","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":true,"formalizations":["https://palomar-registry.org/entry.html?id=PALOMAR-2026-10-23-000010&version=1"],"human_understanding":"some"}