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Article overview
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First order parent formulation for generic gauge field theories | | Glenn Barnich
; Maxim Grigoriev
; | | Date: |
1 Sep 2010 | | Abstract: | We show how a generic gauge field theory described by a BRST differential can
systematically be reformulated as a first order parent system whose spacetime
part is determined by the de Rham differential. In the spirit of the unfolded
approach, this is done by extending the original space of fields so as to
include their derivatives as new independent fields together with associated
form fields. Through the inclusion of the antifield dependent part of the BRST
differential, the parent formulation can be used both for on and off-shell
formulations. For diffeomorphism invariant models, the parent formulation can
be reformulated as an AKSZ-type sigma model. Several examples, such as the
relativistic particle, Yang-Mills theory, general relativity and the two
dimensional sigma model are worked out in details. | | Source: | arXiv, 1009.0190 | | Services: | Forum | Review | PDF | Favorites | |
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