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20 April 2024
 
  » arxiv » 1211.6979

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Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
Nicolas Boulanger ; Dmitry Ponomarev ; E.D. Skvortsov ;
Date 29 Nov 2012
AbstractWe use the Fradkin-Vasiliev procedure to construct the full set of non-abelian cubic vertices for totally symmetric higher spin gauge fields in anti-de Sitter space. The number of such vertices is given by a certain tensor-product multiplicity. We discuss the one-to-one relation between our result and the list of non-abelian gauge deformations in flat space obtained elsewhere via the cohomological approach. We comment about the uniqueness of Vasiliev’s simplest higher-spin algebra in relation with the (non)associativity properties of the gauge algebras that we classified. The gravitational interactions for (partially)-massless (mixed)-symmetry fields are also discussed.
Source arXiv, 1211.6979
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