Hamiltonian Formalism of WZNW Field Under Chevalley Basis

YANG Huan-Xiong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(8) : 696-703

Hamiltonian Formalism of WZNW Field Under Chevalley Basis

YANG Huan-Xiong ^,

Inst of Mod.Phys.,Northwest University,Xian 710069

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Abstract：
The Hamiltonian canonical formalism of two dimensional WZNW theory based on arbitrary semi-simple Lie algebras is given under Chevalley basis.The Poisson brackets of conserved chiral currents are calculated,which turn out to be the classical Kac-Moody current algebras.

References

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P. Goddard D, olive, Int. J. Mod. Phys., A1(1986), 303.[2] E. Witten, Comm.Math. Phys., 92(1984), 455.[3] P. Bowcock, Nucl. Phys., B316(1989), 80.[4] J. Balog, L. Feher, L. O'Raifeartaigh, P. Forgacs and A Wipf, Ann Phys., 203(1990), 76.[5] P Forgacs, A Wipf, J. Balog, L. Feher L. O'Raifeartaigh, Phys Lett., B227(1989), 214, B244(1990), 435.[6] V G Knizhnik A B Zamolodchikov, Nucl. Phys., B247(1984), 83,[7] 候伯宇、赵柳、杨焕雄,高能物理与核物理,15(1991),701,[8] K. Bardakci, E. Rabinovici B. Spring, Nucl. Phys., B299(1989), 151.[9] L. O'Raifeartaigh A Wipf, Phys. Lett., B251(1990), 361.[10] L. O'Raifeartaigh, P. Ruelle I. Tsutsui, Phys. Lett., B258(1991), 359.

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YANG Huan-Xiong. Hamiltonian Formalism of WZNW Field Under Chevalley Basis[J]. Chinese Physics C, 1992, 16(8): 696-703.

YANG Huan-Xiong. Hamiltonian Formalism of WZNW Field Under Chevalley Basis[J]. Chinese Physics C, 1992, 16(8): 696-703. shu

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

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Hamiltonian Formalism of WZNW Field Under Chevalley Basis

YANG Huan-Xiong ^,

Corresponding author: YANG Huan-Xiong,

Inst of Mod.Phys.,Northwest University,Xian 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-08-05

Abstract: The Hamiltonian canonical formalism of two dimensional WZNW theory based on arbitrary semi-simple Lie algebras is given under Chevalley basis.The Poisson brackets of conserved chiral currents are calculated,which turn out to be the classical Kac-Moody current algebras.