VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY

  • 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.
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  • [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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VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY

    Corresponding author: HOU Bo-Yu,

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.

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