A convenient basis for the Izergin–Korepin model

We propose a convenient orthogonal basis of the Hilbert space for the quantum spin chain associated with the A2(2) algebra (or the Izergin–Korepin model). It is shown that compared with the original basis the monodromy-matrix elements acting on this basis take relatively simple forms, which is quite...

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Bibliographic Details
Main Authors: Yi Qiao, Xin Zhang, Kun Hao, Junpeng Cao, Guang-Liang Li, Wen-Li Yang, Kangjie Shi
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318300853
Description
Summary:We propose a convenient orthogonal basis of the Hilbert space for the quantum spin chain associated with the A2(2) algebra (or the Izergin–Korepin model). It is shown that compared with the original basis the monodromy-matrix elements acting on this basis take relatively simple forms, which is quite similar as that for the quantum spin chain associated with An algebra in the so-called F-basis. As an application of our general results, we present the explicit recursive expressions of the Bethe states in this basis for the Izergin–Korepin model.
ISSN:0550-3213