Conformal field theory of dipolar SLE(4) with mixed boundary condition

Abstract

We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlation functions of the fields in the OPE family of Gaussian free field with a certain boundary value are martingale-observables for dipolar SLE(4).

18pages. To appear in J. Korean Math. Soc

References in corpus (3)

• Dipolar SLEs
• Gaussian free field and conformal field theory
• Radial SLE martingale-observables

Cited by in corpus (1)

• Conformal field theory of dipolar SLE with the Dirichlet boundary condition