Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields

Zhao Liu

Chinese Physics C> 1994, Vol. 18> Issue(2) : 119-126

Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields

Zhao Liu ^,

Institute of Modern Physics, Northwest University, Xian 710069

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Abstract：
The Hamiltonian reductions of supersymmetric self-dual Yang-Mills theory are analysed. Under the left-right dual constant constraints, this theory is reduced to the four dimensional supersymmetric nonabelian Toda model. The corresponding actionand linear systems are also obtained as the result of Hamiltonian reductions. In the case of first order constraints under the principal gradation of the underlying Lie superalgebra, the reduced theory is shown to be the four dimensional supersymmetric Toda model. The reduction procedure apply to any Lie superalgebra without requiring a purely odd simple root system.

References

[1]

B.Y.Hou and L.Chao,Hamiltonian reductions of self-dual Yany-Mill stheory,Phys.Lett,B298（1993）103.[2]L.Chao,Supersymmetric self-dual Yang-Mill smodel,NWU-IMP-920724.[3]J.Balog,L.Feher:L.O'Raifeartaigh,P.Forgacs and A.Wipf,Phys.Lett,B227（1989）,214;AnnPhys,203（1991）76;L.O'Raifeartaigh.and A.Wipf,DIAS-STP-90-19;L.O'Raifeartaigh,DIAS-STP-90-43,DIAS-STP-90;L.O'Raifeartaigh,p.Ruelle I.Tsutsui and A.Wipf,DIAS-STP-91-03;L.Feher,L.O'Raifeartaigh.P.Ruelle,L.Tsutsui and A.Wipf,DIAS-STP-91-17,DIAS-STP-91-29;L.Feher,DIAS-STP-91-22;B.Y.Hou and L.Chao,NWU-IMP-911115,911117,920327.[4]M.Bershadsky and O.Ooguri,CMP（1990）;M.Bershadsky,IASSNS-HEP-90/44（CMP1991）.[5]B.Y.Hou.and L.Chao,,NWU-IMP-Priprint,Sincia.（inPress）.[6]T.Inami,KUNS1038,HE（TH）901/4.

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Zhao Liu. Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields[J]. Chinese Physics C, 1994, 18(2): 119-126.

Zhao Liu. Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields[J]. Chinese Physics C, 1994, 18(2): 119-126. 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

Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields

Zhao Liu ^,

Corresponding author: Zhao Liu,

Institute of Modern Physics, Northwest University, Xian 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-02-05

Abstract: The Hamiltonian reductions of supersymmetric self-dual Yang-Mills theory are analysed. Under the left-right dual constant constraints, this theory is reduced to the four dimensional supersymmetric nonabelian Toda model. The corresponding actionand linear systems are also obtained as the result of Hamiltonian reductions. In the case of first order constraints under the principal gradation of the underlying Lie superalgebra, the reduced theory is shown to be the four dimensional supersymmetric Toda model. The reduction procedure apply to any Lie superalgebra without requiring a purely odd simple root system.