A classification of global conformal invariants
Mathematical Physics
2019-07-05 v1 High Energy Physics - Theory
math.MP
Abstract
We provide the full classification, in arbitrary even and odd dimensions, of global conformal invariants, i.e., scalar densities in the spacetime metric and its derivatives that are invariant, possibly up to a total derivative, under local Weyl rescalings of the metric. We use cohomological techniques that have already proved instrumental in the classification of Weyl anomalies in arbitrary dimensions. The approach we follow is purely algebraic and borrows techniques originating from perturbative Quantum Field Theory for which locality is crucial.
Cite
@article{arxiv.1809.05445,
title = {A classification of global conformal invariants},
author = {Nicolas Boulanger and Jordan François and Serge Lazzarini},
journal= {arXiv preprint arXiv:1809.05445},
year = {2019}
}
Comments
10 pages, 2 tables