In two-dimensional critical loop models, including the O (n) and Potts models, the spectrum
is exactly known, as are a few structure constants or ratios thereof. Using numerical …

We determine the spaces of states of the two-dimensional $ O (n) $ and $ Q $-state Potts
models with generic parameters $ n, Q\in\mathbb {C} $ as representations of their known …

In two-dimensional statistical physics, correlation functions of the $ O (N) $ and Potts models
may be written as sums over configurations of non-intersecting loops. We define sums …

Critical site percolation on the triangular lattice: from integrability to conformal partition
functions - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

We define the two-dimensional $ O (n) $ conformal field theory as a theory that includes the
critical dilute and dense $ O (n) $ models as special cases, and depends analytically on the …

In critical loop models, there exist diagonal fields with arbitrary conformal dimensions,
whose $3 $-point functions coincide with those of Liouville theory at $ c\leq 1$. We study …

We propose a new family $\mathsf {Y} _ {k,\ell, x, y,[z, w]} $ of modules over the enlarged
periodic Temperley–Lieb algebra $\mathsf {\mathcal EPTL} _N (\beta) $. These modules are …

In this thesis we study non-unitary two-dimensional bulk conformal field theories that appear
in the continuum limit of certain critical lattice models, including the Potts and O (n) models …