On the notion of gauge symmetries of generic Lagrangian field theory

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dc.creatorGiachetta, G.
dc.creatorMangiarotti, L.
dc.creatorSardanashvily, G.
dc.date2008-07-18
dc.date2008-11-25
dc.date.accessioned2026-07-07T12:39:08Z
dc.date.available2026-07-07T12:39:08Z
dc.descriptionGeneral Lagrangian theory of even and odd fields on an arbitrary smooth manifold is considered. Its non-trivial reducible gauge symmetries and their algebra are defined in this very general setting by means of the inverse second Noether theorem. In contrast with gauge symmetries, non-trivial Noether and higher-stage Noether identities of Lagrangian theory can be intrinsically defined by constructing the exact Koszul-Tate complex. The inverse second Noether theorem that we prove associates to this complex the cochain sequence with the ascent operator whose components define non-trivial gauge and higher-stage gauge symmetries. These gauge symmetries are said to be algebraically closed if the ascent operator can be extended to a nilpotent operator. The necessary conditions for this extension are stated. The characteristic examples of Yang-Mills supergauge theory, topological Chern-Simons theory, gauge gravitation theory and topological BF theory are presented.
dc.description27 pages, accepted for publication in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/0807.3003
dc.identifierhttp://arxiv.org/abs/0807.3003
dc.identifierJ.Math.Phys.50:012903,2009
dc.identifierdoi:10.1063/1.3049750
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219002
dc.subjectMathematical Physics
dc.titleOn the notion of gauge symmetries of generic Lagrangian field theory
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