Radial SLE martingale-observables

Abstract

We implement a version of radial conformal field theory in a family of statistical fields generated by central charge modification of the Gaussian free field and show that the correlation functions of such fields under the insertion of one-leg operator form a collection of radial SLE martingale-observables. We apply the renormalization procedure to the multi-point vertex fields with the neutrality condition to expand this collection and study its basic properties.

44 pages

References in corpus (4)

• Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
• Critical percolation in the plane
• A contour line of the continuum Gaussian free field
• Conformal fields, restriction properties, degenerate representations and SLE