On the Exchange Algebra of Periodic WZNW model

  • Using the free field representation,we calculate,the r-matrix and classical exchange algebra for WZNW model under periodic boundary condition,and discuss the quantum counterparts of the exchange algebra as well as the performances of the r-matrix and classical exchange algebra under Hamiltonian reductions.
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  • [1] B. Blok, Phys. Lett., B233(1989), 359,[2] A. Alekseev, S. Shatashivilli, Commun,.Math. Phys., 133(1990), 353.[3] J. Balog, L. Dabrowski and L. Feher, Phys, Lett., B244(1990), 227.[4] J. Balog, L. Dabrowski and L. Feher, DIAS-STP-90-29.[5] J.-L. Gervais, Phys. Lett., B160(1985). 279.[6] L. D. Faddeev, Commun. Math. Phys., 132(1990), 131.
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ZHAO Liu. On the Exchange Algebra of Periodic WZNW model[J]. Chinese Physics C, 1992, 16(7): 609-614.
ZHAO Liu. On the Exchange Algebra of Periodic WZNW model[J]. Chinese Physics C, 1992, 16(7): 609-614. shu
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Received: 1900-01-01
Revised: 1900-01-01
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On the Exchange Algebra of Periodic WZNW model

    Corresponding author: ZHAO Liu,
  • Institute of Modern Physics,Northwest University,Xi'an 710069

Abstract: Using the free field representation,we calculate,the r-matrix and classical exchange algebra for WZNW model under periodic boundary condition,and discuss the quantum counterparts of the exchange algebra as well as the performances of the r-matrix and classical exchange algebra under Hamiltonian reductions.

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