On the Construction of Integrable Gaudin Models with Boundaries

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

We propose a general method for constructing boundary integrable Gaudin
models associated with (twisted) affine algebras ${\cal G}^{(k)} (k=1, 2)$,
where ${\cal G}$ is a simple Lie algebra or superalgebra. Many new integrable
Gaudin models with boundaries are constructed using this approach.

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