Title: Bethe vectors for models based on the super-Yangian $\boldsymbol{Y}(\mathfrak{gl}\boldsymbol{(m|n))}$
Abstract: We study Bethe vectors of integrable models based on the super-Yangian |$Y(\mathfrak{gl}(m|n))$|. Starting from the super-trace formula, we exhibit recursion relations for these vectors in the case of |$Y(\mathfrak{gl}(2|1))$| and |$Y(\mathfrak{gl}(1|2))$|. These recursion relations allow to get explicit expressions for the Bethe vectors. Using an antimorphism of the super-Yangian |$Y(\mathfrak{gl}(m|n))$|, we also construct a super-trace formula for dual Bethe vectors, and, for |$Y(\mathfrak{gl}(2|1))$| and |$Y(\mathfrak{gl}(1|2))$| super-Yangians, show recursion relations for them. Again, the latter allow us to get explicit expressions for dual Bethe vectors. Communicated by: Prof. Atsuo Kuniba