Year: 2026
Type: preprint
Abstract: We prove a good large deviation principle for chordal $\mathrm{SLE}_κ(W_1-2;W_2-2)$ with force points at $0^-$ and $0^+$, for every fixed $W_1,W_2>0$, as $κ\downarrow0$. The topology is Hausdorff convergence of the entire compact trace. The rate has two equivalent descriptions: the sum of the component wedge energies obtained by cutting a deterministic ambient wedge, and the Loewner driving energy relative to the force-point drift.
Source: arXiv (Cornell University)
Authors: Fan, Yuchen, Tu, Zhenfeng
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223884533