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Supergravity and Cohomology Theory: Progress and Problems in D = 5

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Book cover Unification of the Fundamental Particle Interactions

Part of the book series: Ettore Majorana International Science Series ((EMISS,volume 7))

Abstract

In this contribution, emphasizing new developments, we plan to review the group manifold-rheonomic symmetry approach to super- gravity1,2 which has already been presented to other conferences3. In particular, we want to emphasize the central role of the mathematical concept of the graded Lie algebra cohomology class, which gives a constructive criterion for Lagrangians and which was not discussed in previous papers. The cohomological foundations of geometrical theories will be fully explained in a forthcoming paper4.

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References

  1. Y. Ne’eman and T. Regge, Rivista del Nuovo Cimento 1, number 5, p. 1 (1978).

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  2. A. D’Adda, R. D’ Auria, P. Fré and T. Rege, “Geometrical Formulation of Supergravity Theories on Orthosymplectic Supergroup Manifolds”, to be published in Rivista del Nuovo Cimento (1980).

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  3. A. D’ Adda, R. D’Auria, P. Fré and T. Regge, “Gauge Theories of Supergravity on Orthosymplectic Supergroup Manifolds”, Proceedings Firenze Workshop (June 1979), to be published by J. Hopkins University; A. D’Adda, R. D’Auria, P. Fré and T. Regge, “Geometrical Formulation of Supergravity as a Theory on a Supergroup Manifold”, in “Supergravity”, Proc. of the Stony Brook Workshop, eds P. van Nieuwenhuizen and D.Z. Freedman, North-Holland Pubi. Co., Amsterdam, (1979), p. 85

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  4. R. D’Auria, P. Fré and T. Regge, “Graded Lie Algebra Cohomology and Supergravity”, forthcoming paper.

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  5. C. Chevalley and S. Eilenberg, Trans. Amer. Math. Soc. 63 (1948) 85.

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  9. R. D’Auria and P. Fré, Torino preprint IFTT 323, Nucl. Phys. B, in press (1980).

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© 1980 Plenum Press, New York

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D’Auria, R., Fré, P., Regge, T. (1980). Supergravity and Cohomology Theory: Progress and Problems in D = 5. In: Ferrara, S., Ellis, J., van Nieuwenhuizen, P. (eds) Unification of the Fundamental Particle Interactions. Ettore Majorana International Science Series, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3171-1_12

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  • DOI: https://doi.org/10.1007/978-1-4613-3171-1_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3173-5

  • Online ISBN: 978-1-4613-3171-1

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