Actions, Charges and Off-Shell Fields in the Unfolded Dynamics Approach

Details Actions, Charges and Off-Shell Fields in the Unfolded Dynamics Approach Actions, Charges and Off-Shell Fields in the Unfolded Dynamics Approach

2005-04-11

arxiv.org/abs/hep-th/0504090v3

Int.J.Geom.Meth.Mod.Phys. 3 (2006) 37-80

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, no figures, v2: typos corrected; explanations, two appendices and references added, v3: minor corrections, reference

Scientific paper

Within unfolded dynamics approach, we represent actions and conserved charges as elements of cohomology of the $L_\infty$ algebra underlying the unfolded formulation of a given dynamical system. The unfolded off-shell constraints for symmetric fields of all spins in Minkowski space are shown to have the form of zero curvature and covariant constancy conditions for 1-forms and 0-forms taking values in an appropriate star product algebra. Unfolded formulation of Yang-Mills and Einstein equations is presented in a closed form.

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