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Spin 3/2 field and Cartan's geometry

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Abstract

The coupled spin-2-spin-3/2 system (supergravity) is obtained in Cartan's geometrical language of differential forms. The spin-3/2 field is introduced through a canonical spinor differential one-form. Two points are discussed: the introduction of higher spin fields and the origin of local supersymmetry.

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References

  1. FreedmanD.Z. and VanNieuwenhuizenP., Phys. Rev. D14, 912 (1976); Freedman, D.Z., Van Nieuwenhuizen, P., and Ferrara, S., Phys. Rev. D13, 3214 (1976); Deser, S. and Zumino, B., Phys. Letters 62B, 335 (1976).

    Google Scholar 

  2. Zumino, B., Lecture presented at Conference on Gauge Theories and Modern Field Theory, Northeastern University, September 1975; CERN preprint TH. 2120.

  3. AbersE. and LeeB.W., Physics Reports 9C, 1 (1973).

    Google Scholar 

  4. Freedman, D.Z. and Van Nieuwenhuizen, P., Reference 1; Ashok, Das and Freedman, D.Z., Stony Brook University preprint ITP-SB-76-35.

  5. Van Nieuwenhuizen, P. and Vermaseren, J.A.M., Stony Brook University preprint ITP-SB-76-44, September 1976; Grisaru, M.T., Van Nieuwenhuizen, P., and Vermaseren, J.A.M., Stony Brook University preprint ITP-SB-76-52, October 1976.

  6. Ferrara, S. and Van Nieuwenhuizen, P., Stony Brook University preprint ITP-SB-76-48; Ferrara, S., Gliozzi, F., Scherk, J., and Van Nieuwenhuizen, P., École Normale Supérieure preprint PTENS 76/19; Freedman, D.Z., Stony Brook University preprint ITP-SB-76-58; Ferrara, S., Scherk, J., and Zumino, B., Laboratoire de Physique Théorique de l'École Normale Supérieure preprint LPTENS 76/23.

  7. CartanE., Leçons sur la géometrie des espaces de Riemann, Gauthier-Villars, Paris, 1946.

    Google Scholar 

  8. WeylH., Z. Physik 56, 330 (1929).

    Google Scholar 

  9. FlandersH., Differential Forms, Academic Press, London and New York, 1963; Misner, C.W., Thorne, K.S., and Wheeler, J.A., Gravitation, Freeman, San Francisco, 1973; Israel, W., ‘Differential Forms in General Relativity’, Comm. Dublin Inst. Adv. Studies, Ser. A, No. 19 (1970).

    Google Scholar 

  10. VolkovD.V. and SorokaV.A., Theoret. Math. Phys. 20, 829 (1974).

    Google Scholar 

  11. Schwinger, J., Particles, Sources and Fields, Addison-Wesley, 1973.

  12. DeserS. and VanNieuwenhuizenP., Phys. Rev. D10, 401, 411 (1974).

    Google Scholar 

  13. IshamC.J., AbdusSalam, and StrathdeeJ., Phys. Rev. D8, 2600 (1973).

    Google Scholar 

  14. AkulovV.P., VolkovD.V., and SorokaV.A., JETP Letters 22, 187 (1975); Wess, J. and Zumino, B., Karlsruhe University preprint.

    Google Scholar 

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Baaklini, N.S. Spin 3/2 field and Cartan's geometry. Lett Math Phys 2, 43–47 (1977). https://doi.org/10.1007/BF00420670

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