English

Grassmann-graded Lagrangian theory of even and odd variables

Mathematical Physics 2012-06-13 v1 math.MP

Abstract

Graded Lagrangian formalism in terms of a Grassmann-graded variational bicomplex on graded manifolds is developed in a very general setting. This formalism provides the comprehensive description of reducible degenerate Lagrangian systems, characterized by hierarchies of non-trivial higher-order Noether identities and gauge symmetries. This is a general case of classical field theory and Lagrangian non-relativistic mechanics.

Keywords

Cite

@article{arxiv.1206.2508,
  title  = {Grassmann-graded Lagrangian theory of even and odd variables},
  author = {G. Sardanashvily},
  journal= {arXiv preprint arXiv:1206.2508},
  year   = {2012}
}

Comments

36 pp. arXiv admin note: text overlap with arXiv:0908.1886, arXiv:0708.2434