Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space

[en] 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.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Boulanger, Nicolas ; Université de Mons > Faculté des Sciences > Mécanique et gravitation

Ponomarev, Dmitry ; Université de Mons > Faculté des Sciences > Mécanique et gravitation

Skvortsov, Evgeny

Language :

English

Title :

Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space

Publication date :

30 May 2013

Journal title :

Journal of High Energy Physics

ISSN :

1126-6708

Publisher :

Springer, Heidelberg, Germany

Peer reviewed :

Peer Reviewed verified by ORBi

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Commentary :

30 pages, v2: minor corrections, reference added

Available on ORBi UMONS :

since 30 June 2013

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