A c=-2 boundary changing operator for the Abelian sandpile
arXiv:hep-th/0203105 · doi:10.1016/S0370-2693(02)02069-5
Abstract
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.
5 pages, 1 figure, revtex4; comments added and Eq.(11) corrected, published version
References in corpus (5)
Cited by in corpus (47)
- Solvable Critical Dense Polymers
- Virasoro representations and fusion for general augmented minimal models
- Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model
- Holographic applications of logarithmic conformal field theories
- Height variables in the Abelian sandpile model: scaling fields and correlations
- From boundary to bulk in logarithmic CFT
- Logarithmic torus amplitudes
- Fusion rules and boundary conditions in the c=0 triplet model
- The logarithmic triplet theory with boundary
- Fusion algebra of critical percolation
- Logarithmic scaling for height variables in the Abelian sandpile model
- Abelian Sandpile Model: a Conformal Field Theory Point of View
- Boundary height fields in the Abelian sandpile model
- Pre-logarithmic and logarithmic fields in a sandpile model
- Abelian Sandpile Model on the Honeycomb Lattice
- Pair correlations in sandpile model: a check of logarithmic conformal field theory
- Return probability for the loop-erased random walk and mean height in sandpile : a proof
- Logarithmic conformal invariance in the Abelian sandpile model
- Multiple and inverse topplings in the Abelian Sandpile Model
- Explicit characterization of the identity configuration in an Abelian Sandpile Model
- Coset Graphs in Bulk and Boundary Logarithmic Minimal Models
- Wind on the boundary for the Abelian sandpile model
- Boundary conditions and defect lines in the Abelian sandpile model
- Logarithmic two-point correlators in the Abelian sandpile model
- Non-Local Finite-Size Effects in the Dimer Model
- Refined conformal spectra in the dimer model
- Jamming probabilities for a vacancy in the dimer model
- Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Non-Bipartite Lattice
- Integrals of Motion for Critical Dense Polymers and Symplectic Fermions
- Two-dimensional spanning webs as (1,2) logarithmic minimal model
- Notes on Generalised Nullvectors in logarithmic CFT
- Sandpile models in the large
- Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
- Extended multiplet structure in Logarithmic Conformal Field Theories
- Exact finite-size corrections in the dimer model on a planar square lattice
- W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p)
- Three-leg correlations in the two component spanning tree on the upper half-plane
- The Baxter Q Operator of Critical Dense Polymers
- Transfer matrix for spanning trees, webs and colored forests
- A braided monoidal category for free super-bosons
- Sandpile probabilities on triangular and hexagonal lattices
- Correlation functions of disorder operators in massive ghost theories
- Higher Order and boundary Scaling Fields in the Abelian Sandpile Model
- Analytic Bootstrap for Logarithmic CFT
- Spatial Asymmetric Two dimensional Continuous Abelian Sandpile Model
- Multipoint correlators in the Abelian sandpile model
- Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field