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Conformal invariance of relativistic equations for arbitrary spin particles

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Abstract

We show that any Poincaré-invariant equation for particles of zero mass and of discrete spin provide a unitary representation of the conformal group, and find an explicit expression of the conformal group generators in terms of Poincaré group generators.

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References

  1. BatemanH., Proc. London Math. Soc. 7, 70 (1909); 8, 223, 469, (1910). Cunningham, E., Proc. London Math. Soc. 8, 77 (1909).

    Google Scholar 

  2. DiracP.A.M., Ann. Math. 37, 429 (1936).

    Google Scholar 

  3. McLennanA., Nuovo Cim. 3, 1360 (1956). Lomont, J.S., Nuovo Cim. 22, 673 (1961).

    Google Scholar 

  4. GrossL., J. Math. Phys. 5, 687 (1964).

    Google Scholar 

  5. FlatoM., SimonJ., and SternheimerD., Ann. Phys. 61, 78 (1970). Mack, G., and Salam Abdus, Ann. Phys. 53, 174 (1969).

    Google Scholar 

  6. FoldyL.L., Phys. Rev. 102, 568 (1956). Shirokov, Yu.M., Soviet J. JETP 33, 861 (1957).

    Google Scholar 

  7. LomontJ.S., and MosesH.E., J. Math. Phys. 3, 405 (1962).

    Google Scholar 

  8. BoseS.K., and ParkerR., J. Math. Phys. 10, 862 (1969).

    Google Scholar 

  9. FushchichV.I., and SegedaYu.N., Soviet J. Ukrainian Math. J. 28, 844 (1976).

    Google Scholar 

  10. FushchichV.I., and KrivskyI.Yu., Nucl. Phys. B7, 79 (1968); B14, 573 (1969); Soviet J. Theor. Math. Phys. 3, 360 (1970).

    Google Scholar 

  11. FushchichV.I., Soviet J. Theor. Math. Phys. 1, 3 (1971).

    Google Scholar 

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Authors and Affiliations

  1. Mathematical Institute, Academy of Sciences of Ukrainian S.S.R., Repina Street 3, Kiev-4, USSR

    V. I. Fushchich & A. G. Nikitin

Authors
  1. V. I. Fushchich
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  2. A. G. Nikitin
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Fushchich, V.I., Nikitin, A.G. Conformal invariance of relativistic equations for arbitrary spin particles. Lett Math Phys 2, 471–475 (1978). https://doi.org/10.1007/BF00398499

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  • DOI: https://doi.org/10.1007/BF00398499

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