From Percolation to Logarithmic Conformal Field Theory

Details From Percolation to Logarithmic Conformal Field Theory From Percolation to Logarithmic Conformal Field Theory

2007-08-06

arxiv.org/abs/0708.0802v3

Phys.Lett.B657:120-129,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures, minor changes made

Scientific paper

10.1016/j.physletb.2007.10.007

The smallest deformation of the minimal model M(2,3) that can accommodate Cardy's derivation of the percolation crossing probability is presented. It is shown that this leads to a consistent logarithmic conformal field theory at c=0. A simple recipe for computing the associated fusion rules is given. The differences between this theory and the other recently proposed c=0 logarithmic conformal field theories are underlined. The discussion also emphasises the existence of invariant logarithmic couplings that generalise Gurarie's anomaly number.

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