一维哈伯德模型的量子形变
Quantum Deformations of the One-Dimensional Hubbard Model
摘要：
中心扩张超代数psu（2| 2）xR^3在一维哈伯德模型和平面AdS/CFT对应的可积结构中起着重要作用。本文考虑它的量子形变U_q（psu（2| 2）xR^3）并导出基本R矩阵。从后者出发，我们导出了一个可积的具有三个独立参数的自旋链哈密顿量和相应的描述周期链上谱的Bethe方程。我们将我们的哈密顿量与Alcaraz和Bariev提出的双参数哈密顿量联系起来，这可以被认为是一维哈伯德模型的量子变形。
英文摘要：
The centrally extended superalgebra psu(2|2)xR^3 was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here we consider its quantum deformation U_q(psu(2|2)xR^3) and derive the fundamental R-matrix. From the latter we deduce an integrable spin chain Hamiltonian with three independent parameters and the corresponding Bethe equations to describe the spectrum on periodic chains. We relate our Hamiltonian to a two-parametric Hamiltonian proposed by Alcaraz and Bariev which can be considered a quantum deformation of the one-dimensional Hubbard model.
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