FUNDAMENTAL PROBLEMS OF SU(2)t WZW MODELS

  • 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.
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  • [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.
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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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FUNDAMENTAL PROBLEMS OF SU(2)t WZW MODELS

    Corresponding author: HOU Bo-Yu,
  • Institute of Modern Physics,Northwest University,Xian

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.

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