Parent formulation at the Lagrangian level

Details Parent formulation at the Lagrangian level Parent formulation at the Lagrangian level

2010-12-09

arxiv.org/abs/1012.1903v2

JHEP 1107:061,2011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, discussion of the truncation extended, typos corrected, references added

Scientific paper

10.1007/JHEP07(2011)061

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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