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

HOU Bo-Yu; LI Kang; WANG Pei

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2024年10月30日

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

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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

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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.

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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

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

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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.