187 citations · 1.3k across the 88 of their papers we have counts for
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Integrable models from singly generated planar algebras
Xavier Poncini, Jorgen Rasmussen
Not all planar algebras can encode the algebraic structure of a Yang--Baxter integrable model described in terms of a so-called homogeneous transfer operator. In the family of subf…
Integrability of planar-algebraic models
Xavier Poncini, Jorgen Rasmussen
The Quantum Inverse Scattering Method is a scheme for solving integrable models in dimensions, building on an -matrix that satisfies the Yang--Baxter equation and in terms…
Yang-Baxter Integrable Dimers on a Strip
Paul A. Pearce, Jørgen Rasmussen, Alessandra Vittorini-Orgeas
The dimer model on a strip is considered as a Yang-Baxter \mbox{integrable} six vertex model at the free-fermion point with crossing parameter and quantum group inva…
Staggered and affine Kac modules over
Jorgen Rasmussen
This work concerns the representation theory of the affine Lie algebra at fractional level and its links to the representation theory of the Virasoro algebra. We introd…
Fusion hierarchies, -systems and -systems for the models
Alexi Morin-Duchesne, Paul A. Pearce, Jorgen Rasmussen
The family of models on the square lattice includes a dilute loop model, a -vertex model and, at roots of unity, a family of RSOS models. The fused transfer matrice…
On the reality of spectra of -invariant XXZ Hamiltonians
Alexi Morin-Duchesne, Jorgen Rasmussen, Philippe Ruelle +1
A new inner product is constructed on each standard module over the Temperley-Lieb algebra for and . On these modules, the Hamiltonian…
Dimer representations of the Temperley-Lieb algebra
Alexi Morin-Duchesne, Jorgen Rasmussen, Philippe Ruelle
A new spin-chain representation of the Temperley-Lieb algebra is introduced and related to the dimer model. Unlike the usual XXZ spin-chain representations of dimension…
Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models
Alexi Morin-Duchesne, Paul A. Pearce, Jorgen Rasmussen
A Temperley-Lieb (TL) loop model is a Yang-Baxter integrable lattice model with nonlocal degrees of freedom. On a strip of width N, the evolution operator is the double-row transfe…
Infinitely extended Kac table of solvable critical dense polymers
Paul A. Pearce, Jorgen Rasmussen, Simon P. Villani
Solvable critical dense polymers is a Yang-Baxter integrable model of polymers on the square lattice. It is the first member LM(1,2) of the family of logarithmic minimal models LM(…
Discrete holomorphicity and integrability in loop models with open boundaries
Jan de Gier, Alexander Lee, Jorgen Rasmussen
We consider boundary conditions compatible with discrete holomorphicity for the dilute O(n) and C_2^(1) loop models. In each model, for a general set of boundary plaquettes, multip…
Note on SLE and logarithmic CFT
Jorgen Rasmussen
It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Loewner evolutions. Based on the exist…
On Stochastic Evolutions and Superconformal Field Theory
Jasbir Nagi, Jorgen Rasmussen
Links between certain stochastic evolutions of conformal maps and conformal field theory have been studied in the realm of SLE and by utilizing singular vectors in highest-weight m…
Stochastic evolutions in superspace and superconformal field theory
Jorgen Rasmussen
Some stochastic evolutions of conformal maps can be described by SLE and may be linked to conformal field theory via stochastic differential equations and singular vectors in highe…
SLE-type growth processes and the Yang-Lee singularity
Frederic Lesage, Jorgen Rasmussen
The recently introduced SLE growth processes are based on conformal maps from an open and simply-connected subset of the upper half-plane to the half-plane itself. We generalize th…
Higher su(N) tensor products
J. Rasmussen, M. A. Walton
We extend our recent results on ordinary su(N) tensor product multiplicities to higher su(N) tensor products. Particular emphasis is put on four-point couplings where the tensor pr…
su(N) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles
Jorgen Rasmussen, Mark A. Walton
Information on su(N) tensor product multiplicities is neatly encoded in Berenstein-Zelevinsky triangles. Here we study a generalisation of these triangles by allowing negative as w…