Non-abelian cubic vertices for higher-spin fields in AdS(d)
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In this article, the Fradkin-Vasiliev procedure was used to construct the full set of non-Abelian cubic vertices for totally symmetric higher spin gauge fields in AdS d in flat space.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 AdS
d
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 non-Abelian interactions among themselves and again the number of non-Abelian vertices should be given by tensor product multiplicities.read more
Citations
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References
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Journal ArticleDOI
No self-interaction for two-column massless fields
TL;DR: In this article, the authors investigated the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths.
Journal ArticleDOI
Generating Function for Cubic Interaction Vertices of Higher Spin Fields in any Dimension
TL;DR: In this paper, a wide class of cubic interaction vertices for higher spin fields of any symmetry in arbitrary dimension of space-time is presented, where the solution is obtained in terms of generating function.
Journal ArticleDOI
Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
Xavier Bekaert,Elisa Meunier +1 more
TL;DR: In this paper, a symmetric conserved current, bilinear in the scalar field and containing up to r derivatives, is obtained for any rank r ≥ 1 from its flat spacetime counterpart in dimension d + 1, via a radial dimensional reduction valid precisely for the mass-square domain of unitarity in (anti) de Sitter spacetime of dimension d.
Journal ArticleDOI
Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
TL;DR: In this paper, the Fradkin-Vasiliev construction with and without Stuckelberg fields is used to construct non-Abelian cubic interactions between the simplest mixed-symmetry gauge field and gravity.
Journal ArticleDOI
Gauge fields in (A)dSd and connections of its symmetry algebra
TL;DR: In this paper, the generalized connections of the de Sitter algebra so (d, 1) and anti-de Sitter algebras so(d―1, 2) are studied.
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