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arXiv · 0708.0802

From Percolation to Logarithmic Conformal Field Theory

Pierre Mathieu·David Ridout
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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.

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Pierre Mathieu, David Ridout. 2007-10-19. From Percolation to Logarithmic Conformal Field Theory. https://doi.org/10.1016/j.physletb.2007.10.007

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