Ordinary-derivative formulation of conformal low-spin fields

Metsaev, R.R.

doi:10.1007/jhep01(2012)064

Cited by 34 publications

(47 citation statements)

References 89 publications

(152 reference statements)

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“…This feature allows them to bypass the Coleman-Mandula theorem as well as other powerful no-go theorems in flat space. 2 On the other hand it has been recently pointed out how asymptotically AdS solutions of Einstein gravity can be recovered from four derivative theories by choosing appropriate boundary conditions [34][35][36]. This provides some key hints about the role of the latter non-unitary theories in the context of AdS/CFT.…”

Section: Jhep06(2014)066mentioning

confidence: 99%

On conformal higher spin wave operators

Nutma

Taronna

2014

J. High Energ. Phys.

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We analyze free conformal higher spin actions and the corresponding wave operators in arbitrary even dimensions and backgrounds. We show that the wave operators do not factorize in general, and identify the Weyl tensor and its derivatives as the obstruction to factorization. We give a manifestly factorized form for them on (A)dS backgrounds for arbitrary spin and on Einstein backgrounds for spin 2. We are also able to fix the conformal wave operator in d = 4 for s = 3 up to linear order in the Riemann tensor on generic Bach-flat backgrounds.

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Section: Jhep06(2014)066mentioning

confidence: 99%

On conformal higher spin wave operators

Nutma

Taronna

2014

J. High Energ. Phys.

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“…10 For arbitrary values of κ, s, and d, action for massive spin-s AdS field evaluated on a solution of the Dirichlet problem was first found in refs. [19,49].…”

Section: Discussionmentioning

confidence: 99%

“…We note that the ordinary-derivative description of the short conformal fields was obtained in refs. [10,11]. In other words, in this paper we extend approach in refs.…”

Section: Jhep05(2016)096mentioning

confidence: 94%

“…In other words, in this paper we extend approach in refs. [10,11] to the cases of the long, partial-short and special conformal fields. Our Lagrangian formulation of conformal fields has the following two attractive features.…”

Section: Jhep05(2016)096mentioning

confidence: 99%

“…where basis ket-vectors |φ s ′ λ,k ′ appearing in (4.9) take the form 10) and, depending on the type of the conformal field, the summation indices s ′ , λ, k ′ in (4.9) run over values given in (4.2)-(4.6). Note that, for the short conformal field, the λ is fixed (see (4.6)).…”

Section: Jhep05(2016)096mentioning

confidence: 99%

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Long, partial-short, and special conformal fields

Metsaev

2016

J. High Energ. Phys.

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In the framework of metric-like approach, totally symmetric arbitrary spin bosonic conformal fields propagating in flat space-time are studied. Depending on the values of conformal dimension, spin, and dimension of space-time, we classify all conformal field as long, partial-short, short, and special conformal fields. An ordinary-derivative (second-derivative) Lagrangian formulation for such conformal fields is obtained. The ordinary-derivative Lagrangian formulation is realized by using double-traceless gauge fields, Stueckelberg fields, and auxiliary fields. Gauge-fixed Lagrangian invariant under global BRST transformations is obtained. The gauge-fixed BRST Lagrangian is used for the computation of partition functions for all conformal fields. Using the result for the partition functions, numbers of propagating D.o.F for the conformal fields are also found.

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Conformal Interactions Between Matter and Higher‐Spin (Super)Fields

Kuzenko

Ponds

Raptakis

2022

Fortschritte der Physik

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In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model scriptSfalse[φ,hfalse]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with scriptSfalse[φ,hfalse]$\mathcal {S}[\varphi ,h]$ possessing a non‐abelian gauge symmetry. Two characteristic features of the perturbative constructions of scriptSfalse[φ,hfalse]$\mathcal {S}[\varphi , h]$ given in the literature are: (i) the background spacetime is flat; and (ii) conformal invariance is not manifest. In the present paper we provide a new derivation of this action in four dimensions such that (i) scriptSfalse[φ,hfalse]$\mathcal {S}[\varphi , h]$ is defined on an arbitrary conformally‐flat background; and (ii) the background conformal symmetry is manifestly realised. Next, our results are extended to the scriptN=1$\mathcal {N}=1$ supersymmetric case. Specifically, we construct, for the first time, a model scriptSfalse[normalΦ,Hfalse]$\mathcal {S}[\Phi , H]$ for a conformal scalar/chiral multiplet Φ coupled to an infinite set of background higher‐spin superfields H. Our action possesses a non‐abelian gauge symmetry which naturally generalises the linearised gauge transformations of conformal half‐integer superspin multiplets. The other fundamental features of this model are: (i) scriptSfalse[normalΦ,Hfalse]$\mathcal {S}[\Phi , H]$ is defined on an arbitrary conformally‐flat superspace background; and (ii) the background scriptN=1$\mathcal {N}=1$ superconformal symmetry is manifest. Making use of scriptSfalse[normalΦ,Hfalse]$\mathcal {S}[\Phi , H]$, an interacting superconformal higher‐spin theory can be defined as an induced action.

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Ordinary-derivative formulation of conformal low-spin fields

Cited by 34 publications

References 89 publications

On conformal higher spin wave operators

On conformal higher spin wave operators

Long, partial-short, and special conformal fields

Conformal Interactions Between Matter and Higher‐Spin (Super)Fields

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