## 9 Citations

### ALGEBRAIC BETHE ANSATZ FOR o 2 n +1 -INVARIANT INTEGRABLE MODELS

- Mathematics
- 2020

We study the class of o 2 n +1 -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the o 2 n +1 -invariant Bethe vector in terms of the…

### O ct 2 02 0 Representations of orthogonal and symplectic Yangians 1

- Mathematics
- 2020

Exteded Yangian algebras of orthogonal and symplectic types are defined by the YangBaxter RLL relation involving the fundamental R-matrix with so(n) or sp(2m) symmetry. We study representations of…

### Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$ -invariant integrable models

- MathematicsTheoretical and Mathematical Physics
- 2021

Abstract We study the class of $$ \mathfrak{o} _{2n+1}$$ -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the $$ \mathfrak{o}…

### Algebraic Bethe Ansatz for spinor R-matrices

- ArtSciPost Physics
- 2022

<jats:p>We present a supermatrix realisation of
<jats:inline-formula><jats:alternatives><jats:tex-math>q</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"…

### Spinor Representations of Orthogonal and Symplectic Yangians

- MathematicsPhysics of Particles and Nuclei Letters
- 2020

We consider the explicit spinor \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}…

## References

SHOWING 1-10 OF 23 REFERENCES

### New symmetries of gl(N)-invariant Bethe vectors

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing -invariant R-matrix. We study two types of Bethe vectors. The first type corresponds to the original…

### Algebraic Bethe Ansatz for SO(N)-invariant transfer matrices

- Mathematics
- 1991

A matrix version of an algebraic Bethe Ansatz is proposed for R-matrices of a special structure. It is shown that SO(N)-invariant R-matrices in spinor representation possess this special structure.…

### How algebraic Bethe ansatz works for integrable model

- Physics
- 1996

I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated…

### The spinorial R-matrix

- Mathematics
- 2013

The R-matrix acting in the tensor product of two spinor representation spaces of Lie algebra so(d) is considered thoroughly. The corresponding Yang–Baxter relation is proved and the underlying local…

### Nested Bethe Ansatz for the RTT Algebra of sp(4) Type

- MathematicsTheoretical and Mathematical Physics
- 2019

We show how to formulate the algebraic nested Bethe ansatz for RTT algebras with an R-matrix of the sp(4) type. We obtain the Bethe vectors and Bethe conditions for any highest-weight representation…

### Local Hamiltonians for integrable quantum models on a lattice. II

- Physics
- 1983

This paper discusses a method of constructing local Hamiltonians for integrable lattice models proposed by Tarasov, Takhtadzhyan, and Faddeev. The method is generalized to the case of inhomogeneous…

### Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry

- Physics
- 1985

The authors investigate quantum models on a chain with O(n) and Sp(2k) symmetry. The eigenvalues of the corresponding transfer matrices on a finite lattice are calculated. A generalization of the…

### Equivalences between three presentations of orthogonal and symplectic Yangians

- MathematicsLetters in Mathematical Physics
- 2018

We prove the equivalence of two presentations of the Yangian $$Y(\mathfrak {g})$$Y(g) of a simple Lie algebra $$\mathfrak {g}$$g, and we also show the equivalence with a third presentation when…