Chinese Physics C > 1993, Vol. 17 > Issue(S4): 361-369

Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model

Zhao Liu

Institute of Modern Physics, Northwest University, Xian, Suaaxi, China

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Abstract：
The Hamiltonian reductions of supersymmef nc self-dual Yang-Mills model are studied. Under the left-right dual constant regular cons:mints, we derive the four-dimensional supersymmetric non-Abelian Toda models, (he corresponding effective action and the associated linear systems. In the special case cf the first order constraints under the principal gradation, we obtain the four-dimensional supersymmetric Toda model. The reduction procedure holds for any Lie sun e-algebra without requiring a purely odd simple root system.

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Zhao Liu. Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model[J]. Chinese Physics C, 1993, 17(S4): 361-369.

Zhao Liu. Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model[J]. Chinese Physics C, 1993, 17(S4): 361-369. shu

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Received: 1992-07-28

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沈阳化工大学材料科学与工程学院沈阳 110142

Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model

Zhao Liu

Institute of Modern Physics, Northwest University, Xian, Suaaxi, China

Received Date:1992-07-28

Abstract:The Hamiltonian reductions of supersymmef nc self-dual Yang-Mills model are studied. Under the left-right dual constant regular cons:mints, we derive the four-dimensional supersymmetric non-Abelian Toda models, (he corresponding effective action and the associated linear systems. In the special case cf the first order constraints under the principal gradation, we obtain the four-dimensional supersymmetric Toda model. The reduction procedure holds for any Lie sun e-algebra without requiring a purely odd simple root system.