## 22 Citations

### Six-Vertex Model and Non-linear Differential Equations. I: Spectral Problem

- MathematicsCommunications in Mathematical Physics
- 2018

In this work we relate the spectral problem of the toroidal six-vertex model’s transfer matrix with the theory of integrable non-linear differential equations. More precisely, we establish an analogy…

### Boundary correlations for the six-vertex model with reflecting end boundary condition

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

We consider the six-vertex model with reflecting end boundary condition. We compute analytically boundary correlation functions, such as the boundary polarization and the emptiness formation…

### New differential equations in the six-vertex model

- Mathematics
- 2016

This letter is concerned with the analysis of the six-vertex model with domain-wall boundaries in terms of partial differential equations (PDEs). The model’s partition function is shown to obey a…

### Boundary perimeter Bethe ansatz

- Mathematics
- 2017

We study the partition function of the six-vertex model in the rational limit on arbitrary Baxter lattices with reflecting boundary. Every such lattice is interpreted as an invariant of the twisted…

### Thermodynamic limit of the six-vertex model with reflecting end

- Mathematics
- 2015

We study the thermodynamic limit of the six-vertex model with domain wall boundary and reflecting end. We have found a number of special points where the partition function is directly obtained. We…

### The Functional Method for the Domain-Wall Partition Function

- MathematicsSymmetry, Integrability and Geometry: Methods and Applications
- 2018

We review the (algebraic-)functional method devised by Galleas and further developed by Galleas and the author. We first explain the method using the simplest example: the computation of the…

### Differential approach to on-shell scalar products in six-vertex models

- Mathematics
- 2015

In this work we obtain hierarchies of partial differential equations describing on-shell scalar products for two types of six-vertex models. More precisely, six-vertex models with two different…

### Elliptic free-fermion model with OS boundary and elliptic Pfaffians

- Mathematics, PhysicsLetters in Mathematical Physics
- 2018

We introduce and study a class of partition functions of an elliptic free-fermionic face model. We study the partition functions with a triangular boundary using the off-diagonal K-matrix at the…

## References

SHOWING 1-10 OF 52 REFERENCES

### Functional relations for the six-vertex model with domain wall boundary conditions

- Mathematics, Physics
- 2010

In this work we demonstrate that the Yang–Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six-vertex model with domain wall boundary…

### A new representation for the partition function of the six-vertex model with domain wall boundaries

- Mathematics
- 2010

We obtain a new representation for the partition function of the six-vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is…

### Partial differential equations from integrable vertex models

- Mathematics, Computer Science
- 2014

A mechanism for converting the spectral problem of vertex models transfer matrices into the solution of certain linear partial differential equations for the Uq[sl(2)] invariant six-vertex model is proposed.

### Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions

- Mathematics
- 2008

### The partition function of the trigonometric SOS model with a reflecting end

- Mathematics
- 2010

We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of the sum of determinants…

### Scalar Product of Bethe Vectors from Functional Equations

- Mathematics
- 2012

In this work the scalar product of Bethe vectors for the six-vertex model is studied by means of functional equations. The scalar products are shown to obey a system of functional equations…

### Functional relations and the Yang-Baxter algebra

- Mathematics
- 2013

Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Statistical Mechanics and they are intimately connected with Baxter's concept of commuting transfer…

### An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model

- Mathematics
- 2013

We consider the problem of the exact computation of the correlation functions of the eight-vertex solid-on-solid model by means of the algebraic Bethe ansatz. We compute the scalar product between a…