2007/02/28 by D. Bashkirov, G. Giachetta, L. Mangiarotti +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP #msc:58A20 #msc:58C50 #msc:70S05 #msc:70S20
paper · pdf · doi:10.1007/s11005-008-0226-y
published as Lett.Math.Phys.83:237-252,2008 · 15 pages, accepted for publication in Lett. Math. Phys
arxiv created 2007/12/29 · openalex publication_date 2008/02/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Quantization of a Lagrangian field system essentially depends on its degeneracy and implies its BRST extension defined by sets of non-trivial Noether and higher-stage Noether identities. However, one meets a problem how to select trivial and non-trivial higher-stage Noether identities. We show that, under certain conditions, one can associate to a degenerate Lagrangian L the KT-BRST complex of fields, antifields and ghosts whose boundary and coboundary operators provide all non-trivial Noether identities and gauge symmetries of L. In this case, L can be extended to a proper solution of the master equation.