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On the number of parameters of self-dual Yang-Mills configurations

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Abstract

Using pure differential-geometric ideas (Lie groups as R-spaces and related properties) a new method of determining the number of parameters of a self-dual Yang-Mills configuration is proposed. Some connections with the Atiyah-Ward twistor approach are also revealed.

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References

  1. CorriganE. and GoddardP., in Lecture Notes in Physics 129, Springer Verlag, Berlin, Heidelberg, New York, 1980, and references therein.

    Google Scholar 

  2. BarthW., Invent. Math. 42, 63 (1977).

    Google Scholar 

  3. ShanahanP., Lecture Notes in Mathematics 638, Springer Verlag, Berlin, Heidelberg, New York, 1978.

    Google Scholar 

  4. AtiyahM. and WardR.S., Comm. Math. Phys. 55, 117 (1977).

    Google Scholar 

  5. WardR.S., Comm. Math. Phys. 80, 575 (1981).

    Google Scholar 

  6. DanielM. and VialletC.M., Rev. Mod. Phys. 52, 175 (1980).

    Article  Google Scholar 

  7. UhlenbeckK., Bull. Amer. Math. Soc. (N.S.) 1, 579 (1979).

    Google Scholar 

  8. DrinfeldV.G. and ManinYu.I., Comm. Math. Phys. 63, 177 (1978).

    Google Scholar 

  9. WellR.O., Differential Analysis on Complex Manifolds, Springer Verlag, Berlin, Heidelberg, New York, 1980.

    Google Scholar 

  10. HelgasonS., Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, 1979.

    Google Scholar 

  11. KobayashiS. and TakeuchiM., J. Diff. Geom. 2, 203 (1968).

    Google Scholar 

  12. KobayashiS. and NaganoT., J. Math. Mech. 13, 875 (1964).

    Google Scholar 

  13. NaganoT., Trans. Amer. Math. Soc. 118, 428 (1965).

    Google Scholar 

  14. Tataru-MihaiP., Nuovo Cim. 51A, 169 (1979).

    Google Scholar 

  15. EichenherrH. and ForgerM., Nucl. Phys. B164, 528 (1980).

    Article  Google Scholar 

  16. DeConciniC. and VitielloG., Nuovo Cim. 51A, 358 (1979).

    Google Scholar 

  17. NishikawaS. and TakeuchiM., Tôhoku Math. J. 30, 307 (1978).

    Google Scholar 

  18. Pjateckii-ShapiroI.I., Automorphic Forms and the Geometry of Classical Domains, Gordon and Breach, New York, London, Paris, 1969.

    Google Scholar 

  19. GriffithsP.A., Bull. Amer. Math. Soc. 76, 228 (1970).

    Google Scholar 

  20. WellsR.O., Bull. Amer. Math. Soc. (N.S.) 1, 196 (1979).

    Google Scholar 

  21. DeAlfaroV., FubiniS., and FurlanG., Phys. Lett. 65B, 163 (1976).

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Max Planck Institut, 813, Starnberg, Germany

    P. Tataru-Mihai

  2. Instituto di Fisica, Universita di Salerno, Italy

    G. Vitiello

Authors
  1. P. Tataru-Mihai
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  2. G. Vitiello
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Tataru-Mihai, P., Vitiello, G. On the number of parameters of self-dual Yang-Mills configurations. Lett Math Phys 6, 277–282 (1982). https://doi.org/10.1007/BF00400322

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  • DOI: https://doi.org/10.1007/BF00400322

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