Quantum wedges and large deviations for SLE with two force points

Source 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.