Pre-logarithmic and logarithmic fields in a sandpile model
(2004) Journal Of Statistical Mechanics-theory And Experiment — (2004)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions, and relate it to the boundary logarithmic conformal field theory with central charge c = -2. Building on previous results, we first perform a complementary lattice analysis of the operator effecting the change of boundary condition between open and closed, which confirms that this operator is a weight -1/8 boundary primary field, whose fusion agrees with lattice calculations. We then consider the operators corresponding to the unit height variable and to a mass insertion at an isolated site of the upper half-plane and compute their one-point functions in the presence of a boundary containing the two kinds of boundary conditions. We show that the scaling limit of the mass insertion operator is a weight 0 logarithmic field.
- Affiliations
Citations
Piroux, G., & Ruelle, P. (2004). Pre-logarithmic and logarithmic fields in a sandpile model. Journal Of Statistical Mechanics-theory And Experiment. Published. https://doi.org/10.1088/1742-5468/2004/10/P10005 (Original work published 2004)