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

Published 28 Jun 2013 in math.PR, math-ph, math.CV, and math.MP | (1306.6705v1)

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).

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