Abstract
We establish a duality of the non-periodic Gaudin model associated with superalgebra glm|n and the non-periodic Gaudin model associated with algebra glk.The Hamiltonians of the Gaudin models are given by expansions of a Berezinian of an (m+n)×(m+n) matrix in the case of glm|n and of a column determinant of a k×k matrix in the case of glk. We obtain our results by proving Capelli type identities for both cases and comparing the results.
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