Loop models in two dimensions can be related to O (N) models. The low-temperature dense-
loops phase of such a model, or of its reformulation using a supergroup as symmetry, can …

The presence of nearby conformal field theories (CFTs) hidden in the complex plane of the
tuning parameter was recently proposed as an elegant explanation for the ubiquity of …

We investigate the two-dimensional classical Heisenberg model with a nonlinear nearest-
neighbor interaction V (s→, s→′)= 2 K [(1+ s→ ̇ s→′)/2] p. The analogous nonlinear …

We study a random even subgraph of a finite graph $ G $ with a general edge-weight $ p\in
(0, 1) $. We demonstrate how it may be obtained from a certain random-cluster measure on …

We present a Markov-chain Monte Carlo algorithm of worm type that correctly simulates the
O (n) loop model on any (finite and connected) bipartite cubic graph, for any real n> 0, and …

In the preceding paper, one of us (FY Wu) considered the Potts model and bond and site
percolation on two general classes of two-dimensional lattices, the triangular-type and …

We develop cluster algorithms for a broad class of loop models on two-dimensional lattices,
including several standard O (n) loop models at n≥ 1. We show that our algorithm has little …

The effect of decoherence on topological order (TO) has been most deeply understood for
the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be …

We consider replicated symmetry in two dimensions within the exact framework of scale
invariant scattering theory and determine the lines of renormalization group fixed points in …

We continue investigating the generalisations of geometrical statistical models introduced in
[13], in the form of models of webs on the hexagonal lattice H having a U q (sl n) quantum …