Note on SLE and logarithmic CFT

Physics – Mathematical Physics

Scientific paper

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10 pages, LaTeX, v2: version to be published

Scientific paper

10.1088/1742-5468/2004/09/P09007

It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Loewner evolutions. Based on the existence of a logarithmic null vector in an indecomposable highest-weight module of the Virasoro algebra, the representation theory of the logarithmic conformal field theory is related to entities conserved in mean under the stochastic process.

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