A quantum affine algebra for the deformed Hubbard chain

A quantum affine algebra for the deformed Hubbard chain
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变形哈伯德链的量子仿射代数

DOI:
10.1088/1751-8113/45/36/365206
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发表时间:
2011
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
Takuya Matsumoto
Takuya Matsumoto
中科院分区:
--
文献类型:
--
作者:
N. Beisert;W. Galléas;Takuya Matsumoto

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一维Hubbard模型的可积结构基于Shastry的r矩阵和中心扩展超代数的Yangian。Alcaraz和Bariev已经证明,该模型允许最近发现的r矩阵的可积变形。这个r矩阵是三角型的,在这里我们推导出它潜在的特殊量子仿射代数。我们还证明了代数如何在两个特殊的极限下简化为上述的扬衍代数和常规的量子仿射代数。
The integrable structure of the one-dimensional Hubbard model is based on Shastry's R-matrix and the Yangian of a centrally extended 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 algebra in two special limits.
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DOI: 10.1007/s11005-011-0529-2
发表时间: 2011
影响因子: 1.2
作者:
Beisert N
通讯作者: Beisert N