On the Exchange Algebra of Periodic WZNW model

ZHAO Liu

Chinese Physics C> 1992, Vol. 16> Issue(7) : 609-614

On the Exchange Algebra of Periodic WZNW model

ZHAO Liu ^,

Institute of Modern Physics,Northwest University,Xi'an 710069

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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.

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

On the Exchange Algebra of Periodic WZNW model

ZHAO Liu ^,

Corresponding author: ZHAO Liu,

Institute of Modern Physics,Northwest University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-07-05

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.