Michael Flohr and Annekathrin Müller-Lohmann J. Stat. Mech. (2005) P12004 doi:10.1088/1742-5468/2005/12/P12004
Michael Flohr and Annekathrin Müller-Lohmann
Show affiliationsG M T Watts established that in two-dimensional critical percolation the crossing probability Πhv satisfies a fifth-order differential equation which includes another one of third order whose independent solutions describe the physically relevant quantities 1,Πh,Πhv.
We will show that this differential equation can be derived from a level three null vector condition for a rational c = −24 conformal field theory and motivate how this solution may be fitted into known properties of percolation.
E-print Number: hep-th/0507211
Cited: by |
Refers: to
11.25.Hf Conformal field theory, algebraic structures
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B43 Percolation (See also 60K35)
81T40 Two-dimensional field theories, conformal field theories, etc.
Issue 12 (December 2005)
Received 5 August 2005, accepted for publication 17 November 2005
Published 7 December 2005
Michael Flohr and Annekathrin Müller-Lohmann J. Stat. Mech. (2005) P12004
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M A Black 1972 Phys. Educ. 7 515