Noether's variational theorem II and the BV formalism

Details Noether's variational theorem II and the BV formalism Noether's variational theorem II and the BV formalism

2002-04-07

arxiv.org/abs/math/0204079v1

Mathematics

Quantum Algebra

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

Scientific paper

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.

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