A large deviation principle for the Schramm–Loewner evolution in the uniform topology

We establish a large deviation principle for chordal SLE\(_\kappa\) parametrized by capacity, as the parameter \(\kappa \to 0+\), in topology generated uniform convergence on compact intervals of positive real line. The rate function is shown to equal Loewner energy curve. This strengthens recent result Peltola and Wang who obtained analogous statement using Hausdorff topology.