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Lagrangian Supersymmetries Depending on Derivatives. Global Analysis and Cohomology

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Abstract

Lagrangian contact supersymmetries (depending on derivatives of arbitrary order) are treated in a very general setting. The cohomology of the variational bicomplex on an arbitrary graded manifold and the iterated cohomology of a generic nilpotent contact supersymmetry are computed. In particular, the first variational formula and conservation laws for Lagrangian systems on graded manifolds using contact supersymmetries are obtained.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Camerino, 62032, Camerino (MC), Italy

    Giovanni Giachetta & Luigi Mangiarotti

  2. Department of Theoretical Physics, Physics Faculty, Moscow State University, 117234, Moscow, Russia

    Gennadi Sardanashvily

Authors
  1. Giovanni Giachetta
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  2. Luigi Mangiarotti
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  3. Gennadi Sardanashvily
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Communicated by N.A. Nekrasov

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Giachetta, G., Mangiarotti, L. & Sardanashvily, G. Lagrangian Supersymmetries Depending on Derivatives. Global Analysis and Cohomology. Commun. Math. Phys. 259, 103–128 (2005). https://doi.org/10.1007/s00220-005-1297-6

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  • DOI: https://doi.org/10.1007/s00220-005-1297-6

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