Parent formulation at the Lagrangian level
High Energy Physics - Theory
2011-07-28 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1012.1903,
title = {Parent formulation at the Lagrangian level},
author = {Maxim Grigoriev},
journal= {arXiv preprint arXiv:1012.1903},
year = {2011}
}
Comments
26 pages, discussion of the truncation extended, typos corrected, references added