Virasoro Kac modules were originally introduced indirectly as representations whose
characters arise in the continuum scaling limits of certain transfer matrices in logarithmic …

The central charge of the dimer model on the square lattice is still being debated in the
literature. In this paper, we provide evidence supporting the consistency of a $ c=-2 …

A lattice model of critical dense polymers is solved exactly for arbitrary system size on the
torus. More generally, an infinite family of lattice loop models is studied on the torus and …

Jordan cells in transfer matrices of finite lattice models are a signature of the logarithmic
character of the conformal field theories that appear in their thermodynamical limit. The …

Working with Lieb's transfer matrix for the dimer model, we point out that the full set of dimer
configurations may be partitioned into disjoint subsets (sectors) closed under the action of …

Abstract Using the planar Temperley–Lieb algebra, critical bond percolation on the square
lattice can be reformulated as a loop model. In this form, it is incorporated as ${{\mathcal …

A homomorphism between link and XXZ modules over the periodic Temperley–Lieb algebra -
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We investigate the bipartite fidelity for a lattice model described by a logarithmic CFT: the
model of critical dense polymers. We define this observable in terms of a partition function …

Solvable critical dense polymers is a Yang–Baxter integrable model of polymers on the
square lattice. It is the first member $\mathcal {LM}(1, 2) $ of the family of logarithmic minimal …

We investigate six types of two-point boundary correlation functions in the dense loop
model. These are defined as ratios $ Z/Z^ 0$ of partition functions on the $ m\times n …