On the smoothness of the partition function for multiple Schramm-Loewner evolutions

Abstract

We consider the measure on multiple chordal Schramm-Loewner evolution ($SL{E}_{\kappa }$) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is $C^2$ if $\kappa <4$.

References in corpus (1)

• Reversibility of chordal SLE

Cited by in corpus (4)

• Global and Local Multiple SLEs for $\kappa \le 4$ and Connection Probabilities for Level Lines of GFF
• Towards a conformal field theory for Schramm-Loewner evolutions
• N-sided Radial Schramm-Loewner Evolution
• Large deviations of multichordal SLE${}_{0+}$, real rational functions, and zeta-regularized determinants of Laplacians