Proposal for a CFT interpretation of Watts' differential equation for percolation

Details Proposal for a CFT interpretation of Watts' differential equation for percolation Proposal for a CFT interpretation of Watts' differential equation for percolation

2005-07-21

arxiv.org/abs/hep-th/0507211v2

J.Stat.Mech.0512:P12004,2005

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 20p, added references, corrected typos and additional contents

Scientific paper

10.1088/1742-5468/2005/12/P12004

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.

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