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Multiple actions of the monodromy matrix in $gl(2|1)$-invariant integrable models

Multiple actions of the monodromy matrix in $gl(2|1)$-invariant integrable models

We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained …