Noether's second theorem for BRST symmetries

D. Bashkirov, G. Giachetta, L. Mangiarotti, G. Sardanashvily

Published 2004-12-10, updated 2005-03-17Version 2

We present Noether's second theorem for graded Lagrangian systems of even and odd variables on an arbitrary body manifold X in a general case of BRST symmetries depending on derivatives of dynamic variables and ghosts of any finite order. As a preliminary step, Noether's second theorem for Lagrangian systems on fiber bundles over X possessing gauge symmetries depending on derivatives of dynamic variables and parameters of arbitrary order is proved.