Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields

Zhao Liu

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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]	WANG Dian-Fu , SUN Xiao-Yu , CHANG Xiao-Jing . Dynamical CP violation of the generalized Yang-Mills model. Chinese Physics C, 2011, 35(2): 130-134. doi: 10.1088/1674-1137/35/2/004
[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]	DAI Lian-Rong , PAN Feng . Analytical Expressions for Reduced Coefficients of S_fS_f－1. Chinese Physics C, 2003, 27(3): 238-244.
[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]	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.
[9]	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.
[10]	YAN Jun , HU Shi-Ke . The Stable Compactification of Ten-Dimensional Supergravity Model. Chinese Physics C, 1993, 17(8): 692-699.
[11]	Zhao Liu . Supersymmetrization of Self-Dual Yang-Mills Theory. Chinese Physics C, 1993, 17(S4): 347-353.
[12]	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.
[13]	HOU Bo-Yu , YANG Huan-Xiong . The Hamiltonian Formalism and Quantizations of (Generalized) BFOFW Model. Chinese Physics C, 1993, 17(6): 524-533.
[14]	SU Bing , LI Xin-Zhou . The Quantum Cosmology of Einstein-Yang-Mills Theory in Eight-Dimensions. Chinese Physics C, 1991, 15(4): 303-308.
[15]	LUO Yu-Bing , HU Shi-Ke . THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[16]	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.
[17]	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.
[18]	LI ZI-PING . LAGRANGIAN MULTIPLIER AND MASSIVE YANG-MILLS FIELDS YANG-MILLS FIELDS. Chinese Physics C, 1982, 6(5): 555-559.
[19]	WU YONG-SHI . THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS. Chinese Physics C, 1979, 3(3): 382-386.
[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(2454)
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.