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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Character Integral Representation of Zeta function in AdS$_{d+1}$: II. Application to partially-massless higher-spin gravities
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Towards the Fradkin–Vasiliev formalism in three dimensions
TL;DR: In this article, the Fradkin-Vasiliev formalism is applied to the analysis of possible interactions of massive bosonic and fermionic fields in three dimensions.
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Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
TL;DR: In this article , the cubic vertex is formulated in the framework of the BRST approach to higher spin field theory, and an approach to construct the manifestly Lorentz covariant cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component dotted and undotted spinor indices is developed.
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Type-B Formal Higher Spin Gravity
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TL;DR: In this paper, non-linear equations for the formal Type-B Higher Spin Gravity model were derived from the first principles: the gauge invariance of the CFT partition function on an arbitrary background for single-trace operators.
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Formalism of gauge-invariant curvatures and constructing the cubic vertices for massive spin-$$\frac{3}{2}$$ field in AdS$$_4$$ space
TL;DR: In this article, the interaction of a massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space was studied and the corresponding cubic vertices were constructed based on the Fradkin-Vasiliev formalism.
References
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TL;DR: In this article, 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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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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