On the Construction of Integrable Gaudin Models with Boundaries

Abstract

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

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