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- W2055495004 abstract "General Lagrangian theory of even and odd fields on an arbitrary smooth manifold is considered. Its nontrivial 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, nontrivial 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 with this complex the cochain sequence with the ascent operator whose components define nontrivial 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 background field (BF) theory are presented." @default.
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- W2055495004 date "2009-01-01" @default.
- W2055495004 modified "2023-10-01" @default.
- W2055495004 title "On the notion of gauge symmetries of generic Lagrangian field theory" @default.
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- W2055495004 doi "https://doi.org/10.1063/1.3049750" @default.
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