Paul Pearce

On the partition function of the Sp(4) integrable vertex model

GAP Ribeiro, A Klümper, PA Pearce

Journal article  |  2022  |  Journal of Statistical Mechanics: Theory and Experiment

Abstract In this paper we investigate certain fusion relations associated to an integrable vertex model on the squa..

Groundstate finite-size corrections and dilogarithm identities for the twisted A(1)((1)), A(2)((1)) and A(2)((2)) models

Alexi Morin-Duchesne, Andreas Klumper, Paul A Pearce

Journal article  |  2021  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

We consider the Y -systems satisfied by the A(1)1, A(1)2, A(2)2 vertex and loop models at roots of unity with twisted boundary con..

Yang-Baxter integrable dimers on a strip

Paul A Pearce, Jorgen Rasmussen, Alessandra Vittorini-Orgeas

Journal article  |  2020  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

The dimer model on a strip is considered as a Yang-Baxter integrable six vertex model at the free-fermion point with crossing para..

Fusion hierarchies, T-systems and Y-systems for the dilute A(2)((2)) loop models

Alexi Morin-Duchesne, Paul A Pearce

Journal article  |  2019  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

The fusion hierarchy, T-system and Y-system of functional equations are the key to exact solvability for 2d lattice models. We der..

Extended T-systems, Q matrices and T-Q relations for sl(2) models at roots of unity

Holger Frahm, Alexi Morin-Duchesne, Paul A Pearce

Journal article  |  2019  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

The mutually commuting 1 × n fused single and double-row transfer matrices of the critical six-vertex model are considered at root..

Fusion hierarchies, T-systems and Y-systems for the A(2)((1)) models

Alexi Morin-Duchesne, Paul A Pearce, Jorgen Rasmussen

Journal article  |  2019  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

The family of A 2(1) models on the square lattice includes a dilute loop model, a 15-vertex model and, at roots of unity, a family..

One-dimensional sums and finitized characters of 2 x 2 fused RSOS models

Gyorgy Z Feher, Paul A Pearce, Alessandra Vittorini-Orgeas

Journal article  |  2018  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Tartaglia and Pearce have argued that the nonunitary n × n fused Forrester-Baxter RSOS(m, m′ ) models are described, in the contin..

Yang-Baxter solution of dimers as a free-fermion six-vertex model

Paul A Pearce, Alessandra Vittorini-Orgeas

Journal article  |  2017  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

It is shown that Dimers is Yang-Baxter integrable as a six-vertex model at thefree-fermion point with crossing parameter λ = π/2 ...

Conformal partition functions of critical percolation from D-3 thermodynamic Bethe Ansatz equations

Alexi Morin-Duchesne, Andreas Kluemper, Paul A Pearce

Journal article  |  2017  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Using the planar Temperley-Lieb algebra, critical bond percolation on the square lattice can be reformulated as a loop model. In t..

Hard hexagons, hard squares and hard mathematics

Paul A Pearce

Journal article  |  2016  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL