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

Bethe Ansatz works for integrable model

The Algebraic Bethe Ansatz for Rational Braid-monoid Lattice Models

In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B n , C n and D n Lie algebra and by the superalgebra Osp(nj2m). We present a uniied formulation of the quantum inverse scattering method for many of these lattice models. The appropriate fundamental ...

Algebraic Aspects of Bethe - Ansatz

In these lectures the introduction to algebraic aspects of Bethe Ansatz is given. The applications to the seminal spin 1/2 XXX model is discussed in detail and the generalization to higher spin as well as XXZ and lattice Sine-Gordon model are indicated. The origin of quantum groups and their appearance in CFT models is explained. The text can be considered as a guide to the research papers in t...

Unified algebraic Bethe ansatz for two-dimensional lattice models.

We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the nonexceptional A(2)(2r), A(2)(2r-1), B(1)(r), C(1)(r), D(1)(r+1), and D(2)(r+1) Lie algebras. We recast the Yang-Baxter algebra in terms of different commutation relations between creation, annihilation, and diagonal fields. The solution of the D(2)(r+1) model is based on an int...

Algebraic Bethe Ansatz for XYZ Gaudin model

The eigenvectors of the Hamiltionians of the XYZ Gaudin model are constructed by means of the algebraic Bethe Ansatz. The construction is is based on the quasi-classical limit of the corresponding results for the inhomogeneous higher spin eight vertex model. EKS acknowledges the support of the Department of Mathematical Sciences, the University of Tokyo, where the most part of the work was done...