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

Abstract
HTML
Reference
Related

PDF

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.

[1]	. Addendum: Quark Confinement, New Cosmic Expansion and General Yang-Mills Symmetry. Chinese Physics C, 2017, 41(12): 129102.
[2]	JIA Duo-Jie , AI De-Zhen . Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory. Chinese Physics C, 2007, 31(5): 431-436.
[3]	JIA Duojie . Infrared Abelization of Yang-Mills Theory via Abelian Higgs Variables. Chinese Physics C, 2006, 30(3): 196-200.
[4]	BAI Hong-Bo , ZHANG Jin-Fu , ZHOU Xian-Rong . Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM. Chinese Physics C, 2005, 29(8): 752-756.
[5]	JIA Duojie , LI Xi-Guo . Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing. Chinese Physics C, 2003, 27(4): 293-298.
[6]	Medina Ablikim , Edward Corrigan . Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model. Chinese Physics C, 2002, 26(S1): 47-53.
[7]	Zhao Liu . Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(1): 20-26.
[8]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[9]	YAN Jun , HU Shi-Ke . The Stable Compactification of Ten-Dimensional Supergravity Model. Chinese Physics C, 1993, 17(8): 692-699.
[10]	Zhao Liu . Supersymmetrization of Self-Dual Yang-Mills Theory. Chinese Physics C, 1993, 17(S4): 347-353.
[11]	HOU Bo-Yu , ZHAO Liu . Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅱ)An Example. Chinese Physics C, 1993, 17(3): 241-251.
[12]	HOU Bo-Yu , ZHAO Liu . Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework. Chinese Physics C, 1993, 17(1): 28-37.
[13]	HAO San-Ru . The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(6): 538-543.
[14]	HOU Bo-Yu , YANG Huan-Xiong . The Hamiltonian Formalism and Quantizations of (Generalized) BFOFW Model. Chinese Physics C, 1993, 17(6): 524-533.
[15]	LUO Yu-Bing , HU Shi-Ke . THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[16]	WANG Yong-Jiang . THE CONSTRUCTION OF A TWO-LOOP FINITE SUPERSYMMETRY SU(5) MODEL. Chinese Physics C, 1988, 12(1): 19-22.
[17]	SU Jun-Chen , WU Shi-Shu . GORDON DECOMPOSITIONS FOR γ-TYPE MATRICES AND SOME OF THEIR APPLICATIONS. Chinese Physics C, 1987, 11(5): 644-652.
[18]	MA ZHONG-QI . THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE. Chinese Physics C, 1982, 6(2): 176-184.
[19]	LI ZI-PING . LAGRANGIAN MULTIPLIER AND MASSIVE YANG-MILLS FIELDS YANG-MILLS FIELDS. Chinese Physics C, 1982, 6(5): 555-559.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3473)
PDF Downloads(569)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.