Strong obstruction of the Berends–Burgers–van Dam spin-3 vertex

DOI10.1088/1751-8113/43/18/185401zbMATH Open1188.81129arXiv1002.0289OpenAlexW1977941024WikidataQ60204844 ScholiaQ60204844MaRDI QIDQ3560313

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Publication date: 19 May 2010

Published in: (Search for Journal in Brave)

Abstract: In the eighties, Berends, Burgers and van Dam (BBvD) found a nonabelian cubic vertex for self-interacting massless fields of spin three in flat spacetime. However, they also found that this deformation is inconsistent at higher order for any multiplet of spin-three fields. For arbitrary symmetric gauge fields, we severely constrain the possible nonabelian deformations of the gauge algebra and, using these results, prove that the BBvD obstruction cannot be cured by any means, even by introducing fields of spin higher (or lower) than three.

Full work available at URL: https://arxiv.org/abs/1002.0289

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