Using Grassmannian integrals, the double-dimer connection probability on a rectangle is shown to converge in the continuum to the known SLE4/CLE4 value (1-x)/(1+x).
Crossing Probabilities of Multiple Ising Interfaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLE(\kappa) with \kappa=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.
fields
math-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Connection probabilities in the double-dimer model -- the case of two connectivity patterns
Using Grassmannian integrals, the double-dimer connection probability on a rectangle is shown to converge in the continuum to the known SLE4/CLE4 value (1-x)/(1+x).