The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
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Publication:680662
DOI10.1007/JHEP04(2017)054zbMATH Open1378.83056arXiv1701.08645MaRDI QIDQ680662
Author name not available (Why is that?)
Publication date: 23 January 2018
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1701.08645
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