A Quantum Affine Algebra for the Deformed Hubbard Chain
Niklas Beisert, Wellington Galleas, Takuya Matsumoto
TL;DR
This paper derives an exceptional quantum affine algebra underlying the integrable deformation of the Hubbard model's R-matrix, connecting it to known algebraic structures and exploring its limits.
Contribution
It introduces a new quantum affine algebra for the deformed Hubbard chain and explains its relation to existing algebraic frameworks.
Findings
Derived the exceptional quantum affine algebra for the deformed Hubbard model
Showed how the algebra reduces to the Yangian and standard quantum affine algebra in specific limits
Connected the algebraic structure to the integrable deformation of the Hubbard model
Abstract
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.
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