The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields

Abstract : A first-order differential equation is provided for a one-form, spin-s connection valued in the two-row, width-(s − 1) Young tableau of GL(5). The connection is glued to a zero-form identified with the spin-s Cotton tensor. The usual zero-Cotton equation for a symmetric, conformal spin-s tensor gauge field in 3D is the flatness condition for the sum of the GL(5) spin-s and background connections. This presentation of the equations allows to reformulate in a compact way the cohomological problem studied in arXiv:1511.07389 , featuring the spin-s Schouten tensor. We provide full computational details for spin 3 and 4 and present the general spin-s case in a compact way.
Type de document :
Article dans une revue
JHEP, 2017, 04, pp.054. 〈10.1007/JHEP04(2017)054〉
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01554762
Contributeur : Inspire Hep <>
Soumis le : lundi 3 juillet 2017 - 18:18:22
Dernière modification le : mercredi 13 mars 2019 - 13:04:30

Lien texte intégral

Identifiants

Collections

Citation

Thomas Basile, Roberto Bonezzi, Nicolas Boulanger. The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields. JHEP, 2017, 04, pp.054. 〈10.1007/JHEP04(2017)054〉. 〈hal-01554762〉

Partager

Métriques

Consultations de la notice

55