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

Xavier Bekaert·Nicolas Boulanger·Sandrine Cnockaert·Serge Leclercq
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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 Poincare 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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Xavier Bekaert, Nicolas Boulanger, Sandrine Cnockaert, Serge Leclercq. 2006-02-09. On Killing tensors and cubic vertices in higher-spin gauge theories. https://doi.org/10.1002/prop.200510274

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