Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry

Abstract

Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians $Y[\mathfrak{gl}(2|1)]$ and $Y[\mathfrak{gl}(1|2)]$ are derived.

References in corpus (3)

• Zero modes method and form factors in quantum integrable models
• Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
• A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)