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Fibre bundles and supersymmetries

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Abstract

By extending the frame bundle of a manifold admitting a spin structure to a principal fibre bundle with group the super-Poincaré group we are able to derive the supergravity Lagrangian and its invariances under supersymmetry and other transformations in a global form.

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References

  1. Wess, J., Zumino, B.: Nucl. Phys. B70, 39–50 (1974)

    Google Scholar 

  2. Wess, J., Zumino, B.: Nucl. Phys. B78, 1–13 (1974)

    Google Scholar 

  3. Salam, A, Strathdee, J.: Nucl. Phys. B76, 477–482 (1974)

    Google Scholar 

  4. Salam, A., Strathdee, J.: Nucl. Phys. B80, 499–505 (1974)

    Google Scholar 

  5. Salam, A., Strathdee, J.: Phys. Rev. D11, 1521–1535 (1975)

    Google Scholar 

  6. Akulov, V.P., Volkov, D.V., Soroka, V.A.: J.E.T.P. Letters22, 187–188 (1975)

    Google Scholar 

  7. Wess, J., Zumino, B.: Phys. Lett.66 B, 361–364 (1977)

    Google Scholar 

  8. Chamseddine, A.H., West, P.C.: Nucl. Phys. B129, 39–44 (1977)

    Google Scholar 

  9. MacDowell, S.W., Mansouri, F.: Phys. Rev. Lett.38, 739–741 (1977)

    Google Scholar 

  10. D'Adda, A., D'Auria, R., Fre' P. Regge, T.: Geometrical formulation of supergravity theories on orthosymplectic supergroup manifolds. Preprint, Torino 1980

  11. Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vols. I, II. New York, London: Interscience Publishers 1963

    Google Scholar 

  12. Daniel, M., Viallet, C.M.: The geometrical setting of gauge theories of the Yang-Mills type. Preprint PAR-JPTHE, 79/03, 1979

  13. Steenrod, N.: The topology of fibre bundles, Paragraph 3, 9th edit. Princeton, New Jersey: Princeton University Press 1974, pp. 14–16

    Google Scholar 

  14. Milner, J.W.: L'Enseignment Math. 9, 198–203 (1963)

    Google Scholar 

  15. Geroch, R.: J. Math. Phys.9, 1739–1743 (1968)

    Google Scholar 

  16. Atiyah, M.F., Bott, R., Patodi, V.K.: Inventiones Math.19, 279–330 (1973)

    Google Scholar 

  17. Avis, S.J., Isham, C.J.: To appear in Commun. Math. Phys. (1980)

  18. Hawking, S.W., Pope, C.N.: Phys. Lett.73B, 42–44 (1978)

    Google Scholar 

  19. Petry, H.R.: J. Math. Phys.20, 231–240 (1979)

    Google Scholar 

  20. Whiston, G.: Gen. Relat. Grav.6, 463–475 (1975)

    Google Scholar 

  21. Deser, S., Zumino, B.: Phys. Lett.62B, 335–337 (1976)

    Google Scholar 

  22. Fradkin, E.S, Fradkina, T.E.: Phys. Lett.72B, 343–348 (1978)

    Google Scholar 

  23. Brink, L., Gell-Mann, M., Ramond, P., Scwarz, J.H.: Phys. Lett.74B, 336–340 (1978)

    Google Scholar 

  24. Jackiw, R.: Phys. Rev. Lett.41, 1635–1637 (1978)

    Google Scholar 

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Communicated by R. Geroch

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Yates, R.G. Fibre bundles and supersymmetries. Commun.Math. Phys. 76, 255–268 (1980). https://doi.org/10.1007/BF02193556

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