The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

HAO San-Ru

Chinese Physics C> 1993, Vol. 17> Issue(6) : 538-543

The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

HAO San-Ru ^,

Department of Physics,Changsha Normal University of Water Resources and Electric Power,410077

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Abstract：
A new explicit transformation about the static axially symmetric self-dual Yang-Mills(SDYM) fields is presented.The theory has proved that the new transformation is a symmetric one.For the two kinds of the Lie algebraic generators of the Lie group SL (N.R)/SO(N),the corresponding transformations are given.By making use of the Yang-Baxter equality and their square brackets we have obtained the Loop and comformal algebraic structures of the symmetric transformations for the basic fields.All the results obtained in this paper can be directly generalized to the other models.

References

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Dolan, L.，Roos, A.，Phys. Rev. , D22 (1980)，2018.[2]Hou, B. Y.，Ge. M. L. and Wu, Y. S.，Phys. Rev.，D24 (1981)，2238.[3]Dolan, L., Phys, Rev. Lett., 47 (1981)，1371.[4]Ge, M. L. and Wu, Y. S.，Phys. Lett.，B108 (1982)，411.[5]ForRacs, P.Harvath, Z. and Palla, L.，Phys. Rev.，D23 (1981)，1876.[6]Chau，L. L.，Ge , M. L. and Wu , Y. S.，Phys. Rev.，D25 (1982)，1080; 1086.[7]Chau ,L. L. Wu, Y. S.，Phys. Rev.，D26 (1982), 3581.[8]Chau ,L. L.，Ge, M. 1.and Sinha , A.，Wu, Y. S.，Phys.Lett.，B121 (1983)，391[9]Ueno. K. and Nakamura, Y.，Phys.Lett.，B109 (1982)，273.[10]吕景发、赵柳、葛墨林，中国科学，A4 (1991)，399.[11]Yang, C. N .,Phys, Rev. Lett.38 (1977)，1377.[12]Hou，B. Y. . Hou , B. Y . and Wang , P.，Intern. J. Mod. Phys.，A1 (1986) 193.[13]郝三如、李卫，高能物理与核物理，2(1989),120.[14]郝三如、李卫.高能物拥与梅物理.4(1989),320.[15]Semenov-Tian-Shansky. M. A.，Pull. RIMS.，21(1985)，1237.

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HAO San-Ru. The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields[J]. Chinese Physics C, 1993, 17(6): 538-543.

HAO San-Ru. The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields[J]. Chinese Physics C, 1993, 17(6): 538-543. 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

The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields

HAO San-Ru ^,

Corresponding author: HAO San-Ru,

Department of Physics,Changsha Normal University of Water Resources and Electric Power,410077

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-06-05

Abstract: A new explicit transformation about the static axially symmetric self-dual Yang-Mills(SDYM) fields is presented.The theory has proved that the new transformation is a symmetric one.For the two kinds of the Lie algebraic generators of the Lie group SL (N.R)/SO(N),the corresponding transformations are given.By making use of the Yang-Baxter equality and their square brackets we have obtained the Loop and comformal algebraic structures of the symmetric transformations for the basic fields.All the results obtained in this paper can be directly generalized to the other models.