Thursday, July 18, 2013

1307.4424 (Nam-Gyu Kang et al.)

Conformal field theory of dipolar SLE with the Dirichlet boundary

Nam-Gyu Kang, Hee-Joon Tak
We develop a version of dipolar conformal field theory based on the central charge modification of the Gaussian free field with the Dirichlet boundary condition and prove that correlators of certain family of fields in this theory are martingale-observables for dipolar SLE. We prove the restriction property of dipolar SLE(8/3) and Friedrich-Werner's formula in the dipolar case.
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