The critical curves of the q-state Potts model can be determined exactly for regular two-
dimensional lattices G that are of the three-terminal type. This comprises the square …

The problem of counting the number of self-avoiding polygons on a square grid, either by
their perimeter or their enclosed area, is a problem that is so easy to state that, at first sight, it …

A bstract When studying quantum field theories and lattice models, it is often useful to
analytically continue the number of field or spin components from an integer to a real …

Quantum integrability has proven to be a useful tool to study quantum many-body systems
out of equilibrium. In this paper we construct a generic framework for integrable quantum …

The work contains a detailed study of the scaling limit of a certain critical, integrable
inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a …

We introduce a spin chain based on finite-dimensional spin-1/2 SU (2) representations but
with a non-Hermitian “Hamiltonian” and show, using mostly analytical techniques, that it is …

We show that the celebrated six-vertex model of statistical mechanics (along with its
multistate generalizations) can be reformulated as an Ising-type model with only a two-spin …

We show how the Onsager algebra, used in the original solution of the two-dimensional
Ising model, arises as an infinite-dimensional symmetry of certain self-dual models that also …

A bstract In this note we report the results of our study of a 1D integrable spin chain whose
critical behaviour is governed by a CFT possessing a continuous spectrum of scaling …

Izergin–Korepin 19-vertex model has defied understanding for many years. We show in this
paper that its continuum limit involves in fact a non compact conformal field theory (the so …