Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology

Details Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology

2004-07-21

arxiv.org/abs/hep-th/0407185v1

Commun.Math.Phys. 259 (2005) 103-128

Physics

High Energy Physics

High Energy Physics - Theory

28 pp., appears in 'Communications in Mathematical Physics'

Scientific paper

10.1007/s00220-005-1297-6

Lagrangian contact supersymmetries (depending on derivatives of arbitrary order) are treated in 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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