A Poincare lemma for sigma models of AKSZ type
Mathematical Physics
2011-01-17 v2 High Energy Physics - Theory
math.MP
Abstract
For a sigma model of AKSZ-type, we show that the local BRST cohomology is isomorphic to the cohomology of the target space differential when restricted to coordinate neighborhoods both in the base and in the target. An analogous result is shown to hold for the cohomology in the space of functional multivectors. Applications of these latter cohomology classes in the context of the inverse problem of the calculus of variation for general gauge systems are also discussed.
Keywords
Cite
@article{arxiv.0905.0547,
title = {A Poincare lemma for sigma models of AKSZ type},
author = {Glenn Barnich and Maxim Grigoriev},
journal= {arXiv preprint arXiv:0905.0547},
year = {2011}
}
Comments
27 pages Latex file, references added, minor corrections