Premium
On Killing tensors and cubic vertices in higher‐spin gauge theories
Author(s) -
Bekaert X.,
Boulanger N.,
Cnockaert S.,
Leclercq S.
Publication year - 2006
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200510274
Subject(s) - abelian group , spin (aerodynamics) , brst quantization , gauge theory , tensor (intrinsic definition) , quadratic equation , mathematical physics , physics , mathematics , space (punctuation) , gauge (firearms) , locality , poincaré conjecture , theoretical physics , pure mathematics , geometry , computer science , history , linguistics , philosophy , archaeology , thermodynamics , operating system
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.