arXiv:1306.6705 Abstract | arXiv Analytics

arXiv:1306.6705 [math.PR]Abstract References Reviews Resources

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

Published 2013-06-28Version 1

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).

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

DOI: 10.4134/JKMS.2013.50.4.899

Categories: math.PR, math-ph, math.CV, math.MP

Subjects: 60J67, 81T40, 30C35

Keywords: mixed boundary condition, dipolar sle, dipolar conformal field theory, dirichlet-neumann boundary condition, gaussian free field

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