English

Noether's variational theorem II and the BV formalism

Quantum Algebra 2007-05-23 v1 High Energy Physics - Theory Algebraic Topology

Abstract

We review the basics of the Lagrangian approach to field theory and recast Noether's Second Theorem formulated in her language of dependencies using a slight modernization of terminology and notation. We then present the Cattaneo-Felder sigma model and work out the Noether identities or dependencies for this model. We review the description of the Batalin-Vilkovisky formalism and show explicitly how the anti-ghosts encode the Noether identities in this example.

Cite

@article{arxiv.math/0204079,
  title  = {Noether's variational theorem II and the BV formalism},
  author = {Ron Fulp and Tom Lada and Jim Stasheff},
  journal= {arXiv preprint arXiv:math/0204079},
  year   = {2007}
}

Comments

15 pages, submitted to the Proceedings of the 2002 Winter School ``Geometry and Physics'', Srni, Czech Republic