English

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

Mathematical Physics 2017-03-14 v2 math.MP

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[gl(21)]Y[\mathfrak{gl}(2|1)] and Y[gl(12)]Y[\mathfrak{gl}(1|2)] are derived.

Keywords

Cite

@article{arxiv.1611.00943,
  title  = {Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry},
  author = {Jan Fuksa},
  journal= {arXiv preprint arXiv:1611.00943},
  year   = {2017}
}