Conformal field theory of dipolar SLE(4) with mixed boundary condition (Q2870426)
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scientific article; zbMATH DE number 6247800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal field theory of dipolar SLE(4) with mixed boundary condition |
scientific article; zbMATH DE number 6247800 |
Statements
20 January 2014
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dipolar conformal field theory
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martingale observables
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dipolar Schramm-Loewner evolution (SLE)
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mixed boundary conditions
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operator product expansion (OPE)
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vertex fields
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Virasoro field
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Ward functionals and equations
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correlation functions
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Conformal field theory of dipolar SLE(4) with mixed boundary condition (English)
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Previous investigations of the author on the role of Gausssian free fields in conformal field theory and radial SLE martingale observables are adopted to a new setting. Namely, here the mixed (Dirichlet-Neumann) boundary conditions replace the previously used Dirichlet ones. For this version of the dipolar conformal field theory with central charge one, correlation functions of the fields in the operator product expansion (OPE) family of a Gaussian free field with a certain boundary value are proved to be martingale observables. Ward functionals for dipolar Loewner vector fields are used to derive Ward equations for tensor product fields in the OPE family. The difference between this theory and previous results of the author is explained.
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