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

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.

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1211.6979 (Preprint), 324KB
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 Creators:
Boulanger, Nicolas, Author
Ponomarev, Dmitry, Author
Skvortsov, E. D.1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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.

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 Dates: 2012-11-292012-12-292013
 Publication Status: Issued
 Pages: 30 pages, v2: minor corrections, reference added
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1211.6979
DOI: 10.1007/JHEP05(2013)008
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2013 (05) Sequence Number: 008 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002