Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis
Algebraic Geometry
2007-05-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0305303,
title = {Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:math/0305303},
year = {2007}
}
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29 pages