Abstract
The recently proposed first-order parent formalism at the level of equations of motion is specialized to the case of Lagrangian systems. It is shown that for diffeomorphism-invariant theories the parent formulation takes the form of an AKSZ-type sigma model. The proposed formulation can be also seen as a Lagrangian version of the BV-BRST extension of the Vasiliev unfolded approach. We also discuss its possible interpretation as a multidimensional generalization of the Hamiltonian BFV-BRST formalism. The general construction is illustrated by examples of (parametrized) mechanics, relativistic particle, Yang-Mills theory, and gravity.
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Grigoriev, M. Parent formulation at the Lagrangian level. J. High Energ. Phys. 2011, 61 (2011). https://doi.org/10.1007/JHEP07(2011)061
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DOI: https://doi.org/10.1007/JHEP07(2011)061