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

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Cited by in corpus (3)

• Calculus of conformal fields on a compact Riemann surface
• Conformal field theory of dipolar SLE(4) with mixed boundary condition
• Conformal field theory of dipolar SLE with the Dirichlet boundary condition