Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis

L. Mangiarotti, G. Sardanashvily, Giovanni Giachetta

Publication date: 21 May 2003

Abstract: Generalized symmetries and supersymmetries depending on derivatives of dynamic variables are treated in a most general setting. Studding cohomology of the variational bicomplex, we state the first variational formula and conservation laws for Lagrangian systems on fiber bundles and graded manifolds under generalized symmetries and supersymmetries of any order. Cohomology of nilpotent generalized supersymmetries are obtained.

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Jets in global analysis (58A20) Supermanifolds and graded manifolds (58A50)

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