215 citations · 1.7k across the 77 of their papers we have counts for
13 papers · 1 filter
Spin interfaces and crossing probabilities of spin clusters in parafermionic models
Yoshiki Fukusumi, Marco Picco, Raoul Santachiara
We consider fractal curves in two-dimensional spin lattice models. These are N states spin models that undergo a continuous ferromagnetic-paramagnetic phase transition descri…
Three- and four-point connectivities of two-dimensional critical Potts random clusters on the torus
Nina Javerzat, Marco Picco, Raoul Santachiara
In a recent paper, we considered the effects of the torus lattice topology on the two-point connectivity of Potts clusters. These effects are universal and probe non-trivial s…
Two-point connectivity of two-dimensional critical Potts random clusters on the torus
Nina Javerzat, Marco Picco, Raoul Santachiara
We consider the two dimensional random-cluster Potts model on the torus and at the critical point. We study the probability for two points to be connected by a cluster for gen…
On four-point connectivities in the critical 2d Potts model
Marco Picco, Sylvain Ribault, Raoul Santachiara
We perform Monte-Carlo computations of four-point cluster connectivities in the critical 2d Potts model, for numbers of states that are not necessarily integer. We com…
A conformal bootstrap approach to critical percolation in two dimensions
Marco Picco, Sylvain Ribault, Raoul Santachiara
We study four-point functions of critical percolation in two dimensions, and more generally of the Potts model. We propose an exact ansatz for the spectrum: an infinite, discrete a…
Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator
Marco Picco, Raoul Santachiara, Jacopo Viti +1
Recently, two of us argued that the probability that an FK cluster in the Q-state Potts model connects three given points is related to the time-like Liouville three-point correlat…