The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
High Energy Physics - Theory
2017-05-24 v3
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 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.
Keywords
Cite
@article{arxiv.1701.08645,
title = {The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields},
author = {Thomas Basile and Roberto Bonezzi and Nicolas Boulanger},
journal= {arXiv preprint arXiv:1701.08645},
year = {2017}
}
Comments
24 pages, references added, paragraph added in proof