We report progress in constructing Boltzmann weights for integrable three-dimensional lattice spin models. We show that a large class of vertex solutions to the modified tetrahedron equation (MTE) can be conveniently parametrized in terms of Nth roots o
Integrable boundary conditions are studied for critical ADE and general graph-based lattice models o...
The recently proposed invariant formulation of the auxiliary linear problem for 3d integrable models...
We determine the cells, whose existence has been announced by Ocneanu, on all the candidate nimrep ...
We report progress in constructing Boltzmann weights for integrable 3-dimensional lattice spin model...
Abstract It is argued that the supersymmetric index of a certain system of branes in M-theory is equ...
In this paper we construct a three-dimensional (3D) solvable lattice model with non-negative Boltzma...
We consider a discrete classical integrable model on a three-dimensional cubic lattice. The solution...
The goal of this thesis is to present some novel results for solvable lattice models. In chapter 2 a...
We obtain a new solution of the star-triangle relation with positive Boltzmann weights, which contai...
The tetrahedron equation is a three-dimensional generalization of the Yang-Baxter equation. Its solu...
It has recently been established that imposing the condition of discrete holomorphicity on a lattice...
AbstractWe have found a family of solvable nineteen vertex model with statistical configurations inv...
A new class of $A^{(1)}_n$ integrable lattice models is presented. These are interaction-round-a-fac...
We have found a family of solvable nineteen vertex model with statistical configurations invariant b...
We find new solutions to the Yang-Baxter equation in terms of the interwiner matrix for semi-cyclic ...
Integrable boundary conditions are studied for critical ADE and general graph-based lattice models o...
The recently proposed invariant formulation of the auxiliary linear problem for 3d integrable models...
We determine the cells, whose existence has been announced by Ocneanu, on all the candidate nimrep ...
We report progress in constructing Boltzmann weights for integrable 3-dimensional lattice spin model...
Abstract It is argued that the supersymmetric index of a certain system of branes in M-theory is equ...
In this paper we construct a three-dimensional (3D) solvable lattice model with non-negative Boltzma...
We consider a discrete classical integrable model on a three-dimensional cubic lattice. The solution...
The goal of this thesis is to present some novel results for solvable lattice models. In chapter 2 a...
We obtain a new solution of the star-triangle relation with positive Boltzmann weights, which contai...
The tetrahedron equation is a three-dimensional generalization of the Yang-Baxter equation. Its solu...
It has recently been established that imposing the condition of discrete holomorphicity on a lattice...
AbstractWe have found a family of solvable nineteen vertex model with statistical configurations inv...
A new class of $A^{(1)}_n$ integrable lattice models is presented. These are interaction-round-a-fac...
We have found a family of solvable nineteen vertex model with statistical configurations invariant b...
We find new solutions to the Yang-Baxter equation in terms of the interwiner matrix for semi-cyclic ...
Integrable boundary conditions are studied for critical ADE and general graph-based lattice models o...
The recently proposed invariant formulation of the auxiliary linear problem for 3d integrable models...
We determine the cells, whose existence has been announced by Ocneanu, on all the candidate nimrep ...
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