A Quantum Affine Algebra for the Deformed Hubbard Chain

Understand

The integrable structure of the one-dimensional Hubbard model is based on Shastry's R-matrix and the Yangian of a centrally extended sl(2|2) superalgebra.

• Alcaraz and Bariev have shown that the model admits an integrable deformation whose R-matrix has recently been found.
• This R-matrix is of trigonometric type and here we derive its underlying exceptional quantum affine algebra.
• We also show how the algebra reduces to the above mentioned Yangian and to the conventional quantum affine sl(2|2) algebra in two special limits.