## 19 Citations

Z(n) elliptic Gaudin model with open boundaries

- Mathematics
- 2004

The n elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matrices with n+1 free boundary parameters is studied. The commuting families of Gaudin operators are…

The dynamical elliptic quantum Gaudin models and their solutions

- Physics, Mathematics
- 2002

In this paper, we construct the Hamiltonians of both periodic and open elliptic quantum Gaudin models and show their relations with the elliptic quantum group, and the boundary elliptic quantum…

Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model ?

- Mathematics
- 2009

In this paper we construct the quantum spectral curve for the quantum dynami- cal elliptic gl n Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic…

The Elliptic Gaudin Model: a Numerical Study

- Physics
- 2015

The elliptic Gaudin model describes completely anisotropic spin systems with long range interactions. The model was proven to be quantum integrable by Gaudin and latter the exact solution was found…

$A_{n-1}$ Gaudin model with generic open boundaries

- Mathematics
- 2005

The An−1 Gaudin model with generic integerable boundaries specified by nondiagonal K-matrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz…

+1 Gaudin Model

- Mathematics
- 2011

We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N) case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic…

osp(1|2) off-shell Bethe ansatz equation with boundary terms

- Mathematics
- 2006

This work is concerned with the quasi-classical limit of the boundary quantum inverse scattering method for the osp(1|2) vertex model with diagonal K matrices. In this limit Gaudin’s Hamiltonians…

## References

SHOWING 1-10 OF 69 REFERENCES

Wess-Zumino-Witten model on elliptic curves at the critical level.

- Physics, Mathematics
- 2000

We construct a Gaudin-type lattice model as the Wess-Zumino-Witten model on elliptic curves at the critical level. Bethe eigenvectors are obtained by the bosonization technique.

Knizhnik-Zamolodchikov-Bernard equations connected with the eight-vertex model

- Mathematics
- 1998

Using quasiclassical limit of Baxter's 8 - vertex R - matrix, an elliptic generalization of the Knizhnik-Zamolodchikov equation is constructed. Via Off-Shell Bethe ansatz an integrable representation…

Gaudin model, Bethe Ansatz and critical level

- Mathematics
- 1994

We propose a new method of diagonalization oif hamiltonians of the Gaudin model associated to an arbitrary simple Lie algebra, which is based on the Wakimoto modules over affine algebras at the…

On Integrable Models Related to the osp(1, 2) Gaudin Algebra

- Physics
- 1994

The osp(1,2) Gaudin algebra is defined and integrable models described by it are considered. The models include the osp(1,2) Gaudin magnet and the Dicke model related to it. Detailed discussion of…

Gaudin magnet with boundary and generalized Knizhnik-Zamolodchikov equation

- Mathematics
- 1995

We consider the boundary quantum inverse scattering method established by Sklyanin (1988). The Gaudin magnet with boundary is diagonalized by taking a quasi-classical limit of the inhomogeneous…

Separation of variables in the Gaudin model

- Physics, Mathematics
- 1989

We separate variables for the Gaudin model (degenerate case of an integrable quantum magnet SU(2) -chain) by means of an explicit change of coordinates. We get a description of the space of states in…

Generating Function of Correlators in the sl2 Gaudin Model

- Physics
- 1999

An exponential generating function of correlators is calculated explicitly for the sl2 Gaudin model (degenerated quantum integrable XXX spin chain). The calculation relies on the Gauss decomposition…

Bosonization and Integral Representation of Solutions¶of the Knizhnik–Zamolodchikov–Bernard Equations

- Mathematics
- 1999

Abstract:We construct an integral representation of solutions of the Knizhnik–Zamolodchikov–Bernard equations, using the Wakimoto modules.