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

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

2006-02-09

arxiv.org/abs/hep-th/0602092v1

Fortsch.Phys. 54 (2006) 282-290

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. Based on a talk given by X.B. at the RTN Workshop ``Constituents, Fundamental Forces and Symmetries of the Universe'

Scientific paper

10.1002/prop.200510274

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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