Induced action for superconformal higher-spin multiplets using SCFT techniques

Kuzenko, Sergei M.; Fontaine, James La; Ponds, Michael

doi:10.1016/j.physletb.2023.137818

Cited by 3 publications

(3 citation statements)

References 27 publications

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“…□ k ϕ = 0, k > 1 for the scalar matter corresponds to F (0) = (p 2 ) k ; (b) one can choose different types of matter, e.g. fermion ψ, or, more generally, a mixed-symmetry (spin-)tensor field, see [114] for the discussion of the CHS gravity based on the free fermion (called Type-B) and [115,116] for further extensions; (c) supersymmetric extensions should also be possible and be based on the Clifford-Weyl algebra, see the recent [45,61] for N = 1.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…The induced action approach should be generalizable to mixed-symmetry and supersymmetric cases. In particular, it has recently been advanced to N = 1 supersymmetric CHS case [45,61] and the quadratic part of the action has been obtained via the induced action technique [61].…”

Section: Tseytlin's Approach: Induced Actionmentioning

confidence: 99%

“…refer to flat space or fiber indices 9. Generalizations to supersymmetric cases[33,42,44,45,[57][58][59][60][61] and mixed-symmetry fields[62] are also possible, but will be studied elsewhere. In the present paper, we deal with the most basic example of the bosonic CHS gravity with only totally symmetric fields in the spectrum.…”

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confidence: 99%

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Covariant action for conformal higher spin gravity

Basile,

Grigoriev,

Skvortsov

2023

J. Phys. A: Math. Theor.

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Conformal Higher Spin Gravity is a higher spin extension of Weyl gravity and is a family of local higher spin theories, which was put forward by Segal and Tseytlin. We propose a manifestly covariant and coordinate-independent action for these theories. The result is based on an interplay between higher spin symmetries and deformation quantization: a locally equivalent but manifestly background-independent reformulation, known as the parent system, of the off-shell multiplet of conformal higher spin fields (Fradkin--Tseytlin fields) can be interpreted in terms of Fedosov deformation quantization of the underlying cotangent bundle. This brings into the game the invariant quantum trace, induced by the Feigin--Felder--Shoikhet cocycle of Weyl algebra, which extends Segal's action into a gauge invariant and globally well-defined action functional on the space of configurations of the parent system. The same action can be understood within the worldline approach as a correlation function in the topological quantum mechanics on the circle.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Tseytlin's Approach: Induced Actionmentioning

confidence: 99%

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Covariant action for conformal higher spin gravity

Basile,

Grigoriev,

Skvortsov

2023

J. Phys. A: Math. Theor.

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$$ \mathcal{N} $$ = 2 superconformal higher-spin multiplets and their hypermultiplet couplings

Buchbinder,

Ivanov,

Zaigraev

2024

J. High Energ. Phys.

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We construct an off-shell $$ \mathcal{N} $$ N = 2 superconformal cubic vertex for the hypermultiplet coupled to an arbitrary integer higher spin s gauge $$ \mathcal{N} $$ N = 2 supermultiplet in a general $$ \mathcal{N} $$ N = 2 conformal supergravity background. We heavily use $$ \mathcal{N} $$ N = 2, 4D harmonic superspace that provides an unconstrained superfield Lagrangian description. We start with $$ \mathcal{N} $$ N = 2 global superconformal symmetry transformations of the free hypermultiplet model and require invariance of the cubic vertices of general form under these transformations and their gauged version. As a result, we deduce $$ \mathcal{N} $$ N = 2, 4D unconstrained analytic superconformal gauge potentials for an arbitrary integer s. These are the basic ingredients of the approach under consideration. We describe the properties of the gauge potentials, derive the corresponding superconformal and gauge transformation laws, and inspect the off-shell contents of the thus obtained $$ \mathcal{N} $$ N = 2 superconformal higher-spin s multiplets in the Wess-Zumino gauges. The spin s multiplet involves 8(2s− 1)B + 8(2s− 1)F essential off-shell degrees of freedom. The cubic vertex has the generic structure higher spin gauge superfields × hypermultiplet supercurrents. We present the explicit form of the relevant supercurrents.

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Conformal Yang-Mills field in arbitrary dimensions

Metsaev

2024

Nuclear Physics B

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Induced action for superconformal higher-spin multiplets using SCFT techniques

Cited by 3 publications

References 27 publications

Covariant action for conformal higher spin gravity

Covariant action for conformal higher spin gravity

$$ \mathcal{N} $$ = 2 superconformal higher-spin multiplets and their hypermultiplet couplings

Conformal Yang-Mills field in arbitrary dimensions

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