Correlation function of four spins in the percolation model

Abstract

By using the Coulomb gas technics we calculate the four-spin correlation function in the percolation $q\to 1$ limit of the Potts model. It is known that the four-point functions define the actual fusion rules of a particular model. In this respect, we find that fusion of two spins, of dimension ${\Delta }_{\sigma }=\frac{5}{96}$, produce a new channel, in the 4-point function, which is due to the operator with dimension $\Delta =5/8$.

45 pages, no figures, Abstract and Introduction extended, agrees with the journal version

Cited by in corpus (5)

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• On four-point connectivities in the critical 2d Potts model
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• Four spins correlation function of the $q$ states Potts model, for general values of $q$. Its percolation model limit $q\to 1$
• Conformal amplitude hierarchy and the Poincare disk