Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology

Abstract

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.

arXiv comment28 pp., appears in 'Communications in Mathematical Physics'

References in corpus (8)

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Cited by in corpus (8)

• The KT-BRST complex of a degenerate Lagrangian system
• The antifield Koszul-Tate complex of reducible Noether identities
• Graded infinite order jet manifolds
• Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration
• On the notion of gauge symmetries of generic Lagrangian field theory
• Classical field theory. Advanced mathematical formulation
• The Poincaré-Cartan Form in Superfield Theory
• Functionals and the Quantum Master Equation