Starts 13 Oct 2015 11:00
Ends 13 Oct 2015 12:00
Central European Time
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Joint ICTP/SISSA Statistical Physics seminar: "Conformal invariance and many-points correlation functions in percolation models"
SISSA, Santorio Building
Room 138, first floor
Via Bonomea, 265
Trieste
Abstract
The geometrical nature of two-dimensional critical points is encoded in the connectivity properties of random clusters. We discuss about recent results on the bulk three-point connecitivities which were at the origin of the recent extension of the Liouville theory to values of the central charge c<=1. Moreover, we present analytical and numerical analysis of the four-point connectivities of random cluster. In particular we show a new result in the pure percolation theory which has a clear interpretation in terms of the (unknown) bulk conformal field theory behind.
The geometrical nature of two-dimensional critical points is encoded in the connectivity properties of random clusters. We discuss about recent results on the bulk three-point connecitivities which were at the origin of the recent extension of the Liouville theory to values of the central charge c<=1. Moreover, we present analytical and numerical analysis of the four-point connectivities of random cluster. In particular we show a new result in the pure percolation theory which has a clear interpretation in terms of the (unknown) bulk conformal field theory behind.