SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER

HAO San-Ru; LI Wei

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(2) : 120-127

SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER

HAO San-Ru ^, ,
LI Wei

Institute of Modern Physics,Northwest University,Xi'an

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Abstract：
The symmetry of O(3) non-linear sigma model under a dual transformation is discussed and the origin of the transformation of generating functions is explored;Existence of the infinite dimensional symmetries is confirmed.We obtain the infinite dimensional Lie algebraic structure of the basic fields and the semi-product algebraic relation of the two kinds of algebra.The corresponding Bianchi-Backlund transformations are given.

References

[1]

L.Dolan, A. Roos. Phys. Rev. D22(1980). 2018.[2] B. Y. Hou, Yalepreprint 80-29(1980), (unpublished); B. Y. Hou, M. L. ge and Y. S. WU. Phys. Rev.. D24(1981) ,2238.[3] L. Dolan, Phys. Rev. Lett, 47(1981). 1371.[4] M. L. Ge and Y. S. Wu, Phys. Lett., B108(1982), 411.[5] C. Devchand and D. B. Fairlie, Nucl. Phys., B194(1982), 232.[6] K. Ueno and Y. Nakarnura, Phys. Lett., B117(1982), 208.[7] Y. S. Wu. Nucl. Phys. B211, (1983), 160: Commun. Math. Phys., 90(1983), 461.[8] P. Forgacs, Z. Haruath and L. Palla, Phys. Rev,D23(1981).1876.[9] L. L. Chau, M. L. Ge and Y. S. Wu, Phys. Rev. .D, 25(1982). 1080; 1086.[10] K. Ueno and Y. Nakamura. Phys. Lett. B109(1982), 273.[11] L. L. Chau, Y. S. Wu. Phys. Rev., D26(1982), 3581.[12] L. L. Chau, M. L. Ge, A. Sinha and Y. S. Wu, Phys. Lett, B121(1983). 391.[13] R. Geroch, J . Math. Phys., 12(1971), 918; 13(1972), 394.[14] W. Kinnersley and D. M. Chitre. J. Morh. Phys, 18(1977),1926;19(1978). 1926.[15] L. Hauser and F. J. Erenst, J. Math. Phys., 21(1980), 1126.[16] Y. S. Wu and M. L. Ge, J . Math. Phys., 24(1983). 1187.[17] B. Y. Hou and W. Li. NWU-IMP-86-7, (1986): Lett Phys.13(1987).1[18] B. Y. Hou and W. Li, to appcar in J . Phys. A20(1987).[19] B. Y. Hou and W. Li. NMU-IMP-87-20, (1987).[20] B. Y. Hou. J. Math. Phys. 25(1984). 2325.[21] W. Li, NWU-IMP-86-21,(1987).

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HAO San-Ru and LI Wei. SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER[J]. Chinese Physics C, 1989, 13(2): 120-127.

HAO San-Ru and LI Wei. SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER[J]. Chinese Physics C, 1989, 13(2): 120-127. 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

SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER

HAO San-Ru ^,
LI Wei

Corresponding author: HAO San-Ru,

Institute of Modern Physics,Northwest University,Xi'an

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-02-05

Abstract: The symmetry of O(3) non-linear sigma model under a dual transformation is discussed and the origin of the transformation of generating functions is explored;Existence of the infinite dimensional symmetries is confirmed.We obtain the infinite dimensional Lie algebraic structure of the basic fields and the semi-product algebraic relation of the two kinds of algebra.The corresponding Bianchi-Backlund transformations are given.