paper

From Percolation to Logarithmic Conformal Field Theory

arXiv:0708.0802 · doi:10.1016/j.physletb.2007.10.007

Abstract

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.

12 pages, 2 figures, minor changes made

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From Percolation to Logarithmic Conformal Field Theory · wovepaper