## 7 Citations

### Yang-Baxter and the Boost: splitting the difference

- MathematicsSciPost Physics
- 2021

In this paper we continue our classification of regular solutions of
the Yang-Baxter equation using the method based on the spin chain boost
operator developed in [1]. We provide details on how to…

### Solutions to the constant Yang-Baxter equation in all dimensions

- Mathematics
- 2018

We will present solutions to the constant Yang-Baxter equation, in any dimension $n$. More precisely, for any $n$, we will create an infinite family of $n^2$ by $n^2$ matrices which are solutions to…

### Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for IM

- PhysicsAnnals of Physics
- 2021

### Series of the solutions to Yang–Baxter equations: Hecke type matrices and descendant R-, L-operators

- Mathematics, PhysicsNuclear Physics B
- 2018

### Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT

- PhysicsJournal of High Energy Physics
- 2021

In this paper we first demonstrate explicitly that the new models of integrable nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 [36] satisfy the so-called free fermion…

### Integrable approach to simple exclusion processes with boundaries. Review and progress

- Physics
- 2014

We study the matrix ansatz in the quantum group framework, applying integrable systems techniques to statistical physics models. We start by reviewing the two approaches, and then show how one can…

### Generalised Onsager Algebra in Quantum Lattice Models

- MathematicsSciPost Physics
- 2022

The Onsager algebra is one of the cornerstones of exactly solvable models in statistical mechanics. Starting from the generalised Clifford algebra, we demonstrate its relations to the graph…

## References

SHOWING 1-10 OF 49 REFERENCES

### On the Solutions of the Yang-Baxter Equations with General Inhomogeneous Eight-Vertex R-Matrix: Relations with Zamolodchikov’s Tetrahedral Algebra

- Mathematics
- 2013

We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent Rij(u)-matrices of the six- and eight-vertex models, where the only constraint…

### New solutions to the slq(2)-invariant Yang–Baxter equations at roots of unity: Cyclic representations

- Mathematics
- 2013

### The Yang–Baxter equation for invariant 19-vertex models

- Mathematics
- 2010

We study the solutions of the Yang–Baxter equation associated with 19-vertex models invariant by the parity-time symmetry from the perspective of algebraic geometry. We determine the form of the…

### Classification of eight-vertex solutions of the coloured Yang - Baxter equation

- Mathematics
- 1996

In this paper all eight-vertex type solutions of the coloured Yang - Baxter equation dependent on spectral as well as colour parameters are given. It is proved that they are composed of three groups…