FUNDAMENTAL PROBLEMS OF SU(2)<SUB>t</SUB> WZW MODELS

HOU Bo-Yu; LI Kang; WANG Pei

Chinese Physics C> 1990, Vol. 14> Issue(8) : 711-723

FUNDAMENTAL PROBLEMS OF SU(2)_t WZW MODELS

Institute of Modern Physics,Northwest University,Xian

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,we give a solution to fundamental problems of Wess-Zumino-Witten model for the case j₃=1 and the method of solving the fundamental problems for the general case.We find also the explicit connection between the crossing matrix of SU(2)_t WZW model and the braid matrix of SL(2,q) quantum group,the latter is just the quantum Racah coefficent.

References

[1]

P.Goddard, A. Kent and D. Olive, Phys. Lett., B152(1985), 88; Commun.Math. Phys., 103(1986), 105[2] D.Gepner and Z. Qiu, Nucl. Phys., B285(1987), 423; D. Nemeschansky, Phys. Lett., B244(1989), 121.[3] L.Alvarez Gaume, C. Gomes and G. Sierra, CERN-TH 5126/88, 5267/88.[4] V.G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys., B247(1984), 83.[5] A. Tsuchiya and Y. Kanie,in Coformal Field Theory and Solvable Lattice Models, Advanced Studies in Pure Mathematics 16(1988),297.[6] B. Y. Hou, B. Y. Hou and Z. Q. Ma, NWU-IMP-89-11, NWU-IMP-89-12.[7] A. N. Kirillov and N, Yu. Reshestikhin, LOMI-Preprint-E-4-87, LOMI-Preprint-E-9-88.[8] P. Di Francesco, PhT-88 139.

[1]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[2]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[3]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[4]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Inhomogeneous Inverse Differential Realizations of the SU(2) Group. Chinese Physics C, 1998, 22(7): 602-606.
[5]	Liu Yaoyang , Sun Lazhen , Jiang Xiangdong . SU(3)_C×SU(2)_I×U(1)_Y Theory of Composite Leptons. Chinese Physics C, 1998, 22(11): 996-1003.
[6]	Wang Yanshen , Shi Kangiie , Yang Wenli , Zhao Liu , Hou Boyu . Bosonic Formulas for the Boundary state of SU(2) Thirring Model. Chinese Physics C, 1996, 20(3): 216-225.
[7]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[8]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[9]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[10]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[11]	ZHENG Xi-Te , LIU Bei-Shu . CALCULATION OF THE FIXED LENGTH FUNDAMENTAL su(2) HIGGS MODEL. Chinese Physics C, 1990, 14(1): 36-41.
[12]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[13]	Zheng Weihong , Guo Shuohong . Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT. Chinese Physics C, 1989, 13(S1): 33-36.
[14]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[15]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[16]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[17]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[18]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[19]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[20]	NI GUANG-JIONG , SU RU-KENG , CHEN SU-QING . BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL. Chinese Physics C, 1981, 5(4): 429-440.

Access

Get Citation

HOU Bo-Yu, LI Kang and WANG Pei. FUNDAMENTAL PROBLEMS OF SU(2)_t WZW MODELS[J]. Chinese Physics C, 1990, 14(8): 711-723.

HOU Bo-Yu, LI Kang and WANG Pei. FUNDAMENTAL PROBLEMS OF SU(2)_t WZW MODELS[J]. Chinese Physics C, 1990, 14(8): 711-723. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2332)
PDF Downloads(449)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

FUNDAMENTAL PROBLEMS OF SU(2)_t WZW MODELS

Corresponding author: HOU Bo-Yu,

Institute of Modern Physics,Northwest University,Xian

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-08-05

Abstract: In this paper,we give a solution to fundamental problems of Wess-Zumino-Witten model for the case j₃=1 and the method of solving the fundamental problems for the general case.We find also the explicit connection between the crossing matrix of SU(2)_t WZW model and the braid matrix of SL(2,q) quantum group,the latter is just the quantum Racah coefficent.