PreprintCC BY-NC-ND 4.0arXiv
Quantum wedges and large deviations for SLE with two force points
Abstract
We prove a good large deviation principle for chordal SLEκ(W1−2;W2−2) with force points at 0- and 0+, for every fixed W1,W2>0, as κ↓0. 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.
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BibTeX
@misc{fan2026quantum,
title = {{Quantum wedges and large deviations for SLE with two force points}},
author = {Yuchen Fan and Zhenfeng Tu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34630},
eprint = {2610.34630},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34630},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Quantum wedges and large deviations for SLE with two force points
AU - Yuchen Fan
AU - Zhenfeng Tu
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34630
UR - https://arxiv.org/abs/2610.34630
AB - We prove a good large deviation principle for chordal 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↓0. 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.
ER -