Bethe vectors for models based on the super-Yangian $\boldsymbol{Y}(\mathfrak{gl}\boldsymbol{(m|n))}$
Bethe vectors for models based on the super-Yangian $\boldsymbol{Y}(\mathfrak{gl}\boldsymbol{(m|n))}$
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 |$Y(\mathfrak{gl}(m|n))$|, …