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arxiv: 1306.6705 · v1 · pith:DWSXHGFGnew · submitted 2013-06-28 · 🧮 math.PR · math-ph· math.CV· math.MP

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

classification 🧮 math.PR math-phmath.CVmath.MP
keywords boundarydipolarfieldconditionconformaltheorycentralcertain
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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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