Open AccessINTEGRABLE QUANTUM CHAIN AND THE REPRESENTATION OF QUANTUM GROUP SUq(2)
Author(s) -
BoYu Hou,
Kangjie Shi,
Yang Zhong-Xia,
Rui-Hong Yue
Publication year - 1992
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.41.201
Subject(s) - bethe ansatz , integrable system , physics , mathematical physics , type (biology) , quantum group , root of unity , representation (politics) , quantum , spin (aerodynamics) , pure mathematics , quantum mechanics , irreducible representation , chain (unit) , mathematics , thermodynamics , ecology , politics , political science , law , biology
We discuss the XXZ spin chain with certain boundary term and the representation of quantum group SUq(2). It is shown that Bethe Ansatz states are highest weight states of SUq(2), with q arbitrary We construct the irreducible representation of the quantum group. For q a rational root of unity, we show that there are new solutions to the BA equations, We derived the state vectors | b′> by taking certain limit, from which we construct the type I and type Ⅱ representations of SUq(2).