Non-abelian cubic vertices for higher-spin fields in AdS(d)
TLDR
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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Restrictions for n-point vertices in higher-spin theories
TL;DR: In this article, a simple classification of the independent n-point interaction vertices for bosonic higher-spin gauge fields in d-dimensional Minkowski spacetimes is given.
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Interactions in Higher-Spin Gravity: a Holographic Perspective
TL;DR: In this article, the holographic re-construction of metric-like interactions in higher-spin gauge theories on anti-de Sitter space (AdS) was studied, employing their conjectured holographic duality with free conformal field theories.
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Massive higher spin fields coupled to a scalar: Aspects of interaction and causality
TL;DR: In this article, the authors consider the case of massive higher spin fields and show that for such fields the gauge invariance does not guarantee the preservation of the correct number of propagating physical degrees of freedom.
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Massless higher spin cubic vertices in flat four dimensional space
TL;DR: In this article, a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space were constructed using a so-called Fradkin-Vasiliev approach.
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Cubic vertices for N=1 supersymmetric massless higher spin fields in various dimensions
TL;DR: In this paper, a generic technique for constructing the cubic interaction vertices for N = 1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds was developed.
References
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TL;DR: In this paper, nonlinear field equations for totally symmetric bosonic massless fields of all spins in any dimension are presented, and a nonlinear nonlinear model of the field equations is proposed.
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