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#### Non-abelian cubic vertices for higher-spin fields in AdS(d)

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##### Fulltext (public)

1211.6979

(Preprint), 324KB

JHEP2013_05_008.pdf

(Any fulltext), 530KB

##### Supplementary Material (public)

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##### Citation

Boulanger, N., Ponomarev, D., & Skvortsov, E. D. (2013). Non-abelian cubic vertices
for higher-spin fields in AdS(d).* Journal of high energy physics: JHEP,* *2013*(05):
008. doi:10.1007/JHEP05(2013)008.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-7CB4-F

##### Abstract

We 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. We also argue that those mixed-symmetry and/or partially-massless
fields that are described by one-form connections within the frame-like
approach can have nonabelian interactions among themselves and again the number
of nonabelian vertices should be given by tensor product multiplicities.