Proposal for a CFT interpretation of Watts' differential equation for percolation
Flohr, Michael A. I. ; Mueller-Lohmann, Annekathrin
arXiv, 0507211 / Harvested from arXiv
Text on arXiv
G. M. T. Watts derived that in two dimensional critical percolation the crossing probability Pi_hv satisfies a fifth order differential equation which includes another one of third order whose independent solutions describe the physically relevant quantities 1, Pi_h, Pi_hv. We will show that this differential equation can be derived from a level three null vector condition of a rational c=-24 CFT and motivate how this solution may be fitted into known properties of percolation.
Publié le : 2005-07-21
Classification:  High Energy Physics - Theory,  Condensed Matter - Statistical Mechanics,  Mathematical Physics 
@article{0507211,
     author = {Flohr, Michael A. I. and Mueller-Lohmann, Annekathrin},
     title = {Proposal for a CFT interpretation of Watts' differential equation for
  percolation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507211}
}

Flohr, Michael A. I.; Mueller-Lohmann, Annekathrin. Proposal for a CFT interpretation of Watts' differential equation for
  percolation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507211/