论文标题

从债券代数的templeley-lieb代数构建:从横向场到xxz

Construction of the Temperley-Lieb algebra from bond algebra: From the transverse-field Ising to the XXZ

论文作者

Imamura, Yukihisa

论文摘要

我们表明,temperley-lieb代数是由横向场Ising-type键代数的发电机构建的。还表明,当我们将发电机的表示为一维的横向场ISING模型时,在三个连续的键发生器上构建的temperley-Lieb代数将成为XXZ模型。此外,我们从其他表示债券发生器的其他表示中获得了几个可集成的自旋系统。

We show that the Temperley-Lieb algebra is constructed from the generators of the transverse-field Ising-type bond algebra. It is also shown that, when we take the representation of the generators to the one-dimensional transverse-field Ising model, then the Temperley-Lieb algebra constructed on three consecutive bond generators becomes the XXZ model. Furthermore, we obtain several integrable spin systems from other representations for the bond generators.

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