On the variational principle in the unfolded dynamics
Abstract
The interplay between off-shell and on-shell unfolded systems is analysed. The formulation of invariant constraints that put an off-shell system on shell is developed by adding new variables and derivation in the target space, that extends the original -derivation of the unfolded system to a bicomplex. The analogue of the Euler-Lagrange equations in the unfolded dynamics is suggested. The general class of invariant on-shell equation constraints is defined in cohomological terms. The necessary and sufficient condition for the on-shell equation constraints being Euler-Lagrange for some Lagrangian system is proven. The proposed construction is illustrated by the scalar field example.
Cite
@article{arxiv.2111.12691,
title = {On the variational principle in the unfolded dynamics},
author = {A. A. Tarusov and M. A. Vasiliev},
journal= {arXiv preprint arXiv:2111.12691},
year = {2022}
}
Comments
15 pages, no figures; V2: clarifications, reference and acknowledgments added, published version