English

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

High Energy Physics - Theory 2007-05-23 v3

Abstract

Within unfolded dynamics approach, we represent actions and conserved charges as elements of cohomology of the LL_\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.

Keywords

Cite

@article{arxiv.hep-th/0504090,
  title  = {Actions, Charges and Off-Shell Fields in the Unfolded Dynamics Approach},
  author = {M. A. Vasiliev},
  journal= {arXiv preprint arXiv:hep-th/0504090},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T15:29:31.400Z