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Twist operator correlation functions in O(n) loop models
Jacob J. H. Simmons, John Cardy
Using conformal field theoretic methods we calculate correlation functions of geometric observables in the loop representation of the O(n) model at the critical point. We focus on…
Discretely Holomorphic Parafermions and Integrable Loop Models
Yacine Ikhlef, John Cardy
We define parafermionic observables in various lattice loop models, including examples where no Kramers-Wannier duality holds. For a particular rhombic embedding of the lattice in…
ADE and SLE
John Cardy
We point out that the probability law of a single domain wall separating clusters in ADE lattice models in a simply connected domain is identical to that of corresponding chordal c…
Correlation functions of twist operators applied to single self-avoiding loops
Adam Gamsa, John Cardy
The O(n) spin model in two dimensions may equivalently be formulated as a loop model, and then mapped to a height model which is conjectured to flow under the renormalization group…
The O(n) model on the annulus
John Cardy
We use Coulomb gas methods to propose an explicit form for the scaling limit of the partition function of the critical O(n) model on an annulus, with free boundary conditions, as a…
Identification of the stress-energy tensor through conformal restriction in SLE and related processes
B. Doyon, V. Riva, J. Cardy
We derive the Ward identities of Conformal Field Theory (CFT) within the framework of Schramm-Loewner Evolution (SLE) and some related processes. This result, inspired by the obser…