Conformal Transformation and Symplectic Structure of Self-Dual Fields

Yang Kongqing; Luo Yan

Chinese Physics C> 1996, Vol. 20> Issue(9) : 789-793

Conformal Transformation and Symplectic Structure of Self-Dual Fields

Yang Kongqing ^, ,
Luo Yan

Department of Physics,Lanzhou University,Lanzhou 730000

Abstract
HTML
Reference
Related

PDF

Abstract：
Considered two dimensional self-dual fileds,the symplectic structure on the space of sloutions is given.It is shown that this structure is poincare invariant.The Lanrangian of two dimensional self-dual field is invariant under infinite one component conformal group,then this symplectic structure is also invariant under this conformal group.The conserved currents in geometrical formalism are also obtained.

References

[1]

C.Crnkovic,E.Witten,Covariant description of canonical formalism in geometrical theories,inThree Hundred Years of Gravitation,eds.S.Hawking and W.Isreal.[2] N.J.M.Wookhouse,Geometric Quautization,Clarendon Press,Oxford,UK1992.[3] R.Floreanini,R.Jaekiw,Phys.Rev.Lett.,59（1987）1873.[4] R.Floreanini,R.Jackiw,Phys.Lett.,B175（1986）428.

[1]	PEI Shi-Lun , WANG Shu-Hong . Wake Field Calculation Studies in Constant Gradient Accelerating Structures. Chinese Physics C, 2006, 30(3): 251-259.
[2]	LIAO Ling , HUANG Yong-Chang . Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory. Chinese Physics C, 2006, 30(3): 191-195.
[3]	Wang Jiahui . Phase Structure of Z₃ Lattice Gauge Theory Coupled With the Higgs Field. Chinese Physics C, 1999, 23(4): 352-359.
[4]	Zhu Zhiyuan . Identical Bands in Superdeformed Nuclei With the Cranked Relativistic Mean Field Method. Chinese Physics C, 1996, 20(5): 448-454.
[5]	Wang Jiahui . Phase Structure of Z₄ Lattice Gauge Theory Coupled to the Higgs Field. Chinese Physics C, 1995, 19(6): 519-526.
[6]	Miao Yangang , Liu Yaoyang . Faddeev-Jackiw Quantitation of a Theory of Self-Dual Fields Interacting with Gauge Fields. Chinese Physics C, 1994, 18(1): 58-61.
[7]	HAO San-Ru . A New Symmetric Transformation of the Static Axizlly Symmetric SDYM Fields. Chinese Physics C, 1993, 17(5): 412-416.
[8]	ZHAO Liu , YANG Wen-Li . Bosonic Superconformal Toda Model and Dressing Transformation. Chinese Physics C, 1993, 17(4): 338-344.
[9]	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.
[10]	ZHU Dong-Pei . Eigenmatrices of Dual Transformation and Its Application. Chinese Physics C, 1991, 15(1): 38-41.
[11]	HAO San-Ru , LI Wei . INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL. Chinese Physics C, 1989, 13(4): 320-327.
[12]	QIU Rong . THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD. Chinese Physics C, 1989, 13(4): 302-308.
[13]	HAO San-Ru , LI Wei . SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER. Chinese Physics C, 1989, 13(2): 120-127.
[14]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[15]	ZHENG Zhe-Zhu , LIN Jin-Hu . THE FOUR-DIMENSION ANTI-SELF-DUAL EQUATION AND RIEMAN-HILBERT TRANSFOR MATION. Chinese Physics C, 1986, 10(4): 434-437.
[16]	XU Bo-Wei . VACUUM SOLUTIONS OF CONFORMALLY COVARIANT EQUATION FOR SYMMETRIC TENSOR FIELD. Chinese Physics C, 1985, 9(2): 241-243.
[17]	WU Yong-Shi , GE Mo-Lin , LU Chun-Rong . THE PRINCIPAL CHIRAL MODEL FORMULATION OF ERNST EQUATION AND SDYM EQUATION. Chinese Physics C, 1984, 8(4): 409-415.
[18]	HOU BO-YU , HOU BO-YUAN . STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT. Chinese Physics C, 1979, 3(3): 225-265.
[19]	GU CHAO-HAO . THE U₁ GAUGE FIELD IN A SU_N GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

Yang Kongqing and Luo Yan. Conformal Transformation and Symplectic Structure of Self-Dual Fields[J]. Chinese Physics C, 1996, 20(9): 789-793.

Yang Kongqing and Luo Yan. Conformal Transformation and Symplectic Structure of Self-Dual Fields[J]. Chinese Physics C, 1996, 20(9): 789-793. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2537)
PDF Downloads(507)
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

Conformal Transformation and Symplectic Structure of Self-Dual Fields

Yang Kongqing ^,
Luo Yan

Corresponding author: Yang Kongqing,

Department of Physics,Lanzhou University,Lanzhou 730000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-09-05

Abstract: Considered two dimensional self-dual fileds,the symplectic structure on the space of sloutions is given.It is shown that this structure is poincare invariant.The Lanrangian of two dimensional self-dual field is invariant under infinite one component conformal group,then this symplectic structure is also invariant under this conformal group.The conserved currents in geometrical formalism are also obtained.