VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY

HOU Bo-Yu; LI Wei

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(1) : 137-141

VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY

HOU Bo-Yu ^, ,
LI Wei

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Abstract：
In the paper we give a new transformation in the reduced gravity, which is associated with the Virasoro algebra without the center term. To compare with the Geroch group it is easy to establish the relationship between the Virasoro algebra and the Kac-Moody algebra in the theory of the reduced gravity. Then we point out that the transformation can be adopted to generated the new solutions of the Ernst equation from the old ones.

References

[1]

V.G. Kac, Matt. USSR-Izv., 2(1968), 1271.[2] R.V. Moody, J. Algebra, 10(1968), 211.[3] M.A. Virasoro, Phys. Rev., Dl(1970), 2933.[4] L.Dolan and A. Roos, Phys. Rev., D22(1980), ?018.[5] B.Y. Hou, Yale preprint 80-29(1980).[6] B. Y. Hou, M. L. Ge and Y. S. Wu, Phys. Rev., D24(1981), 2238.[7] L. Dolan, Phys Rev., 109(1984), 1.[8] Y. S. Wu and M, L. Ge; J. Math. Phys., 24(1983), 1187.[9] K. Ueno and Y. Nakamura, Phys. Lett., 117(1982), 208.[10] P. Goddard and D.I. Olive, Nucl, Phys., B257[FS14] (1984), 226.[11] A. A. Belavin et al.,Nucl, Phys., B247(1984), 83.[12] P, Goddard, DAMTP 85/7, (1985).[13] E.Fradkin and L. P. Kadanoff, Nucl. Phys., B170[FS1] (1980), 1.[14] R. Geroch, J. Math. Phys., 12(1970), 918; 13(1971), 394.[15] W. Kinnersley and D. M. Chitre, J. Math. Phys., 18(1977), 1538; 19(1978), 1926[16] D. Maison, J. Math. Phys., 20(1979), 871.[17] I. Hauser and F. J. Ernst, Phys. Rev., D20(1979), 362; 978.[18] C. M. Coserove, J. Math. Phys. 21(1980), 2417.

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HOU Bo-Yu and LI Wei. VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY[J]. Chinese Physics C, 1987, 11(1): 137-141.

HOU Bo-Yu and LI Wei. VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY[J]. Chinese Physics C, 1987, 11(1): 137-141. 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

VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY

HOU Bo-Yu ^,
LI Wei

Corresponding author: HOU Bo-Yu,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-02-05

Abstract: In the paper we give a new transformation in the reduced gravity, which is associated with the Virasoro algebra without the center term. To compare with the Geroch group it is easy to establish the relationship between the Virasoro algebra and the Kac-Moody algebra in the theory of the reduced gravity. Then we point out that the transformation can be adopted to generated the new solutions of the Ernst equation from the old ones.