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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2019

A classification of global conformal invariants

Résumé

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.
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Dates et versions

hal-01883059 , version 1 (27-09-2018)

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Nicolas Boulanger, Jordan Francois, Serge Lazzarini. A classification of global conformal invariants. Journal of Physics A: Mathematical and Theoretical, 2019, 52 (11), pp.115201. ⟨10.1088/1751-8121/ab01af⟩. ⟨hal-01883059⟩
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