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On Killing tensors and cubic vertices in higher-spin gauge theories

✍ Scribed by X. Bekaert; N. Boulanger; S. Cnockaert; S. Leclercq

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
135 KB
Volume
54
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

The problem of determining all consistent non‐Abelian local interactions is reviewed in flat space‐time. The antifield‐BRST formulation of the free theory is an efficient tool to address this problem. Firstly, it allows to compute all on‐shell local Killing tensor fields, which are important because of their deep relationship with higher‐spin algebras. Secondly, under the sole assumptions of locality and Poincaré invariance, all non‐trivial consistent deformations of a sum of spin‐three quadratic actions deforming the Abelian gauge algebra were determined. They are compared with lower‐spin cases.

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✍ M.A. Vasiliev 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB

## Abstract Properties of nonlinear higher spin gauge theories of totally symmetric massless higher spin fields in anti‐de Sitter space of any dimension are discussed with the emphasize on the general aspects of the approach.