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【期刊论文】THE CROSSING MATRICES OF WZW SU (2) MODEL AND MINIMAL MODELS WTHE QUANTUM 6j SYMBOLS
侯伯宇, Bo-Yu HOU, Kang-Jie SH, , Pei WANG and Rui-Hong YUE
Nuclear physiCS B345 (1990) 650-684 ,-0001,():
-1年11月30日
We directly derive the crossing (fusion and braiding) matrices for arbitrary isospins of the WZW SU (2) model in the Feigin-Fuchs integral representation and prove explicttly that they are quantum Racah-Wigner 6j matrices under proper normalization conditions. For integer k of the Kac-Moody algebra, the matrices may be truncated and the admissible states ane chased under analytic continuation. The aon-admissible terms will non appear in the other channels after braiding. The consistency of crossing matrices with he ocalitv condition is also proven. Similar results are obrained for the minimal models, which are in agreement with the results obtained by G. Felder. J, Frdlich and G. Keller.
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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 a, b, Bo-Yu Hou b, Kang-Jie Shi a
Nuclear Physics B 496 [PM] (1997) 551-570,-0001,():
-1年11月30日
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.
Elliptic quantum group, Reflection Bethe ansatz, Eight-vertex model
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侯伯宇, Bo-Yu Hou a, Wen-Li Yang a, b, Yao-Zhong Zhang b
Nuclear Physics B 556 [FS] (1999) 485-504,-0001,():
-1年11月30日
We derive the exchange relations of the vertex operators of Uq (A2(2)) and show that these vertex operators give the bosonization of the Izergin-Korepin model. We give an integral expression of the correlation functions of the Izergin-Korepin model and derive the difference equations which they satisfy.
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【期刊论文】Non-commutative algebra of functions of 4-dimensional quantum Hall droplet
侯伯宇, Yi-Xin Chen a, Bo-Yu Hou b, Bo-Yuan Hou c
Nuclear Physics B 638(2002)220-242,-0001,():
-1年11月30日
We develop the description of non-commutative geometry of the 4-dimensional quantum Hall fluid's theory proposed recently by Zhang and Hu. The non-commutative structure of fuzzy S4, which is the base of the bundle S7 obtained by the second Hopf fibration, i.e., S7/S3=S4, appears naturally in this theory. The fuzzy monopole harmonics, which are the essential elements in the non-commutative algebra of functions on S4, are explicitly constructed and their obeying the matrix algebra is obtained. This matrix algebra is associative. We also propose a fusion scheme of the fuzzy monopole harmonics of the coupling system from those of the subsystems, and determine the fusion rule in such fusion scheme. By products, we provide some essential ingredients of the theory of SO(5) angular momentum. In particular, the explicit expression of the coupling coefficients, in the theory of SO(5) angular momentum, are given. We also discuss some possible applications of our results to the 4-dimensional quantum Hall system and the matrix brane construction in M-theory.
4-dimensional quantum Hall system, Fuzzy monopole harmonics, Non-commutative geometry
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侯伯宇, Kai CHEN, a Heng FAN, b, a Bo-Yu HOU, a Kang-jie SHI, a Wen-li YANGa and Rui-hong YUEa
,-0001,():
-1年11月30日
The relationship between Elliptic Ruijsenaars-Schneider (RS) and Calogero-Moser (CM) models with Sklyanin algebra is presented. Lax pair representations of the Elliptic RS and CM are reviewed. For n=2 case, the eigenvalue and eigenfunction for Lam
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