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

Symmetry Integrability and Geometry-Methods and Applications

article

Jan Fuksa¹ 

[1] Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research

关键词: algebraic Bethe ansatz;    composite models;   

DOI  :  10.3842/SIGMA.2017.015

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown