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 $Q$-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.

15 pages, no figures; V2: clarifications, reference and acknowledgments added, published version

References in corpus (3)

• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• On Higher Spins with a Strong Sp(2,R) Condition
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents

Cited by in corpus (1)

• Unfolded Dynamics Approach and Quantum Field Theory