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

M. A. Vasiliev
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Abstract

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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M. A. Vasiliev. 2005-06-01. Actions, Charges and Off-Shell Fields in the Unfolded Dynamics Approach. https://arxiv.org/abs/hep-th/0504090

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