On the notion of gauge symmetries of generic Lagrangian field theory

Details On the notion of gauge symmetries of generic Lagrangian field theory On the notion of gauge symmetries of generic Lagrangian field theory

2008-07-18

arxiv.org/abs/0807.3003v2

J.Math.Phys.50:012903,2009

Physics

Mathematical Physics

27 pages, accepted for publication in J. Math. Phys

Scientific paper

10.1063/1.3049750

General 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.

Affiliated with

Also associated with

No associations

Rating

On the notion of gauge symmetries of generic Lagrangian field theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the notion of gauge symmetries of generic Lagrangian field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the notion of gauge symmetries of generic Lagrangian field theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388641