A c=-2 boundary changing operator for the Abelian sandpile

Philippe Ruelle

A c=-2 boundary changing operator for the Abelian sandpile

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arxiv hep-th/0203105 v2 pith:CE5GVRNR submitted 2002-03-12 hep-th cond-mat

Philippe Ruelle This is my paper · ORCID

classification hep-thcond-mat

keywords boundaryclosedopenabelianfieldoperatorsandpilebelonging

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We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions. We show that the operator effecting the change from closed to open, or from open to closed, is a boundary primary field of weight -1/8, belonging to a c=-2 logarithmic conformal field theory.

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The leading large-spin anomalous dimension of double-trace operators in four-dimensional logarithmic CFTs behaves as γ0/ℓ^{τ_m}, where τ_m is the minimal twist, provided no operator has negative scaling dimension.

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