Wind on the boundary for the Abelian sandpile model

Date
Authors
Ruelle, Philippe
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We continue our investigation of the two-dimensional Abelian sandpile model in terms of a logarithmic conformal field theory with central charge c=-2, by introducing two new boundary conditions. These have two unusual features: they carry an intrinsic orientation, and, more strangely, they cannot be imposed uniformly on a whole boundary (like the edge of a cylinder). They lead to seven new boundary condition changing fields, some of them being in highest weight representations (weights -1/8, 0 and 3/8), some others belonging to indecomposable representations with rank 2 Jordan cells (lowest weights 0 and 1). Their fusion algebra appears to be in full agreement with the fusion rules conjectured by Gaberdiel and Kausch.
Comment: 26 pages, 4 figures
Keywords
Condensed Matter - Statistical Mechanics, High Energy Physics - Theory, Mathematical Physics
Citation
Collections