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期刊论文

Representation of the boundary elliptic quantum group BET,n (sl2) and the Bethe ansatz

侯伯宇Heng Fan ab Bo-Yu Hou b Kang-Jie Shi a

Nuclear Physics B 496 [PM] (1997) 551-570,-0001,():

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摘要/描述

We extend the Gervais-Neveu-Felder equation (GNFE) to the boundary case. Using the bound-ary GNFE, we give a definition of the boundary elliptic quantum group BET,n (sl2). The evaluation representation of the boundary elliptic quantum group BET,n (sl2) is presented. The Bethe ansatz for the boundary quantum group BET.n (sl2) is obtained. In a special case, the obtained Bethe ansatz is similar to the Bethe ansatz of the eight-vertex and the higher spin eight-vertex models with open boundary conditions.

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