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侯伯宇, Hou Bo-Yu DUAN YI-SHI AND GE MO-LIN
SCIENTIA SINICA July. August 1978. Vol. XXI No.4,-0001,():
-1年11月30日
In accordance with the isospin direetton of some charge operator, we decompose the non-Abelian gauge potential and field strength explicitly and gauge covariantly into "neutral"fields, whose sources are these charges and their dual charges, and "vector particle" fieids which are charged. The deeomposition expressions of SU(N)/U(1)N-I, SU(N)/SU(P) SU(N-P) U(1), SO(N)/SO(N-1) are gives explicitly, including various generalized't Hooft field strength expressions. By separating variables of the equation of motion of the abelianizable gauge field,solution with static dual charge system and retarded solution of linearly accelerated dualcharge have been given.
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【期刊论文】EXACT SOLUTION OF BELAVIIN'S Zn
侯伯宇, Bo-Yu HOU, Mu-Lin YAN and Yu-Kui ZHOU
Nuclear Physics B324 (1989) 715-728,-0001,():
-1年11月30日
Belavin's Zn
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【期刊论文】The Global View of Gauge Group Cocycles
侯伯宇, BO-YU HOU*
,-0001,():
-1年11月30日
The common index characterizes the whole descent equation.
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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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