Lagrangian symmetries and supersymmetries depending on derivatives. Conservation laws and cohomology

Details Lagrangian symmetries and supersymmetries depending on derivatives. Conservation laws and cohomology Lagrangian symmetries and supersymmetries depending on derivatives. Conservation laws and cohomology

2003-05-07

arxiv.org/abs/math-ph/0305014v2

Physics

Mathematical Physics

17 pages

Scientific paper

Motivated by BRST theory, we study generalized symmetries and supersymmetries depending on derivatives of dynamic variables in a most general setting. We state the first variational formula and conservation laws for higher order Lagrangian systems on fiber bundles and graded manifolds under generalized symmetries and supersymmetries of any order. Cohomology of nilpotent generalized supersymmetries are considered.

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