Pre-logarithmic and logarithmic fields in a sandpile model Export

@misc{citeulike:743, 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 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 zero logarithmic field.}, archivePrefix = {arXiv}, author = {Piroux, Geoffroy and Ruelle, Philippe}, citeulike-article-id = {743}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0407143}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0407143}, day = {18}, eprint = {hep-th/0407143}, keywords = {graph-theory}, month = {November}, posted-at = {2004-11-16 22:49:06}, title = {Pre-logarithmic and logarithmic fields in a sandpile model}, url = {http://arxiv.org/abs/hep-th/0407143}, year = {2004} }

TY - ELEC ID - citeulike:743 L3 - citeulike-article-id:743 N2 - 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 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 zero logarithmic field. TI - Pre-logarithmic and logarithmic fields in a sandpile model KW - graph-theory AU - Piroux, Geoffroy AU - Ruelle, Philippe PY - 2004/11/18/ UR - http://arxiv.org/abs/hep-th/0407143 ER -