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Virasoro algebra in the solution space of the Ernst equation

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Abstract

In this Letter, a new transformation given in the solution space of the Ernst equation is shown to keep the Ernst equation invariant. It is also proved that the transformation enlarges the Cosgrove symmetry and constructs the Virasoro algebra.

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References

  1. Kac, AV. C.,Matt. USSR-Izv. 2, 1271 (1968); Moody, R. V.,J. Alg. 10, 211 (1968).

    Google Scholar 

  2. Virasoro, AM. A.,Phys. Rev. D1, 2933 (1970).

    Google Scholar 

  3. Hou, B. Y., Yale preprint 80-29 (1980). Hou, B. Y., Ge, M. L., and Wu, Y. S.,Phys. Rev. D24, 2238 (1981); Dolan, L. and Roos, A.,Phys. Rev. D22, 2018 (1980).

  4. Dolan, AL.,Phys. Rev. Lett. 47, 1371 (1981); Ge, M. L. and Wu, Y. S.,Phys. Lett. 108B, 411 (1982).

    Google Scholar 

  5. Witten, AE.,Commun. Math. Phys. 92, 455 (1984).

    Google Scholar 

  6. Knizhnik, AV. G. and Zamolodchikov, AA. B.,Nucl. Phys. B247, 83 (1984).

    Google Scholar 

  7. Geroch, AR.,J. Math. Phys. 12, 918 (1971);13, 394 (1972).

    Google Scholar 

  8. Kinnersley, AW. and Chitre, AD. M.,J. Math. Phys. 18, 1538 (1977);19, 1926 (1978).

    Google Scholar 

  9. Hauser, AI. and Ernst, AF. J.,J. Math. Phys. 21, 1126, 1418 (1980); Wu, Y. S. and Ge, M. L.,J. Math. Phys. 24, 1187 (1983).

    Google Scholar 

  10. Goddard, AP. and Olive, AD.,Nucl. Phys. B257 [FS14], 226 (1984).

    Google Scholar 

  11. Gervais, AJ. L. and Neveu, AA.,Nucl. Phys. B209, 125 (1982).

    Google Scholar 

  12. Wess, AJ. and Zumino, AB.,Nucl. Phys. B70, 39 (1974).

    Google Scholar 

  13. Ernst, AF. J.,Phys. Rev. 167, 1175 (1968).

    Google Scholar 

  14. Goddard, P., DAMTR 85/7 (1985).

  15. Cosgrove, AC. M.,J. Math. Phys. 21, 2417 (1980).

    Google Scholar 

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Hou, BY., Lee, W. Virasoro algebra in the solution space of the Ernst equation. Lett Math Phys 13, 1–6 (1987). https://doi.org/10.1007/BF00570761

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  • DOI: https://doi.org/10.1007/BF00570761

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