Elliptic Gaudin models and elliptic KZ equations

@article{DGould2001EllipticGM,
  title={Elliptic Gaudin models and elliptic KZ equations},
  author={Mark D.Gould and Yao-Z Zhang and Shaoyou Zhao},
  journal={Nuclear Physics},
  year={2001},
  volume={630},
  pages={492-508}
}
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19 Citations
Background Citations
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19 Citations

Z(n) elliptic Gaudin model with open boundaries
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
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 ?
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…
Exact solution of the XXZ Gaudin model with generic open boundaries
An−1 Gaudin model with open boundaries
The Elliptic Gaudin Model: a Numerical Study
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
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
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…
Exactly-solvable models derived from a generalized Gaudin algebra
osp(1|2) off-shell Bethe ansatz equation with boundary terms
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…
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References

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Generating Function of Correlators in the sl2 Gaudin Model
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Bosonization and Integral Representation of Solutions¶of the Knizhnik–Zamolodchikov–Bernard Equations
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