Higher spin supercurrents in anti-de Sitter space

Buchbinder, Evgeny I.; Hutomo, Jessica; Kuzenko, Sergei M.

doi:10.48550/arxiv.1805.08055

Cited by 19 publications

(51 citation statements)

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“…The m = n = 1 case corresponds to the ordinary conformal supercurrent [21]. The case m = n > 1 was first described in Minkowski superspace in [22] (see also [23]) and extended to AdS 4|4 in [24]. The case m = n + 1 > 1 was first described in Minkowski superspace in [23] and extended to AdS 4|4 in [24].…”

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confidence: 99%

AdS superprojectors

Buchbinder,

Hutchings,

Kuzenko

et al. 2021

Preprint

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Within the framework of N = 1 anti-de Sitter (AdS) supersymmetry in four dimensions, we derive superspin projection operators (or superprojectors). For a tensor superfield V α(m) α(n) := V (α 1 ...αm)( α1 ... αn) on AdS superspace, with m and n non-negative integers, the corresponding superprojector turns V α(m) α(n) into a multiplet with the properties of a conserved conformal supercurrent. It is demonstrated that the poles of such superprojectors correspond to (partially) massless multiplets, and the associated gauge transformations are derived. We give a systematic discussion of how to realise the unitary and the partially massless representations of the N = 1 AdS 4 superalgebra osp(1|4) in terms of on-shell superfields. As an example, we present an off-shell model for the massive gravitino multiplet in AdS 4 . We also prove that the gauge-invariant actions for superconformal higher-spin multiplets factorise into products of minimal second-order differential operators.

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confidence: 99%

AdS superprojectors

Buchbinder,

Hutchings,

Kuzenko

et al. 2021

Preprint

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“…In particular, in [40]- [41] cubic vertices for N = 1 superfields and for extended N were obtained in the light-cone approach. In the papers [42]- [47] the interactions between conserved higher spin supercurrents and chiral superfields, as well as interactions between supersymmetric sigma-models and higher spin superfields on flat and AdS backgrounds were constructed. The cubic interactions for supersymmetric systems were also recently constructed in [48]- [49].…”

Section: Introductionmentioning

confidence: 99%

Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions

Buchbinder,

Krykhtin,

Tsulaia

et al. 2021

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Using the BRST approach to higher spin field theories we develop 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. Such an approach allows formulation of the equations for cubic vertices including bosonic and fermionic higher spin fields, and the problem of finding the vertices is reduced to finding the consistent solutions to these equations. As a realization of this procedure, we present the particular solutions for the vertices where the fields obey some off-shell constraints. It is shown that the supersymmetry imposes additional constraints on the vertices and singles out a particular subclass of the solutions. As a concrete application of the generic scheme, we consider supersymmetric Yang-Mills-like systems in four, six and ten dimensions where the higher spin fields transform under some internal symmetry group, as well as supergravity-like systems in the same dimensions.

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“…Complete off-shell Lagrangian formulation of 4D free higher spin N = 1 models has been developed in terms of N = 1 superfields in works [10], [11], [12] (see also section 6.9 in [2]) and further applied to study quantum effective action generated by N = 1 superfields in AdS space in [13]. The superfield approach to N = 1 supersymmetric massless higher spin fields was further generalized in [14], [15], [16], [17], [18], [19] [20], [22] 2 . Some additional geometric aspects of this approach were explored in [24], [25], [26], [27].…”

Section: Introductionmentioning

confidence: 99%

Unconstrained off-shell superfield formulation of $4D, \mathcal{N}=2$ supersymmetric higher spins

Buchbinder,

Ivanov,

Zaigraev

2021

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We present, for the first time, the complete off-shell 4D, N = 2 superfield actions for any free massless integer spin s ≥ 2 fields, using the N = 2 harmonic superspace approach. The relevant gauge supermultiplet is accommodated by two real analytic bosonic superfields h ++ α(s−1) α(s−1) , h ++ α(s−2) α(s−2) and two conjugated complex analytic spinor superfields h, where α(s) := (α 1 . . . α s ), α(s) := ( α1 . . . αs ). Like in the harmonic superspace formulations of N = 2 Maxwell and supergravity theories, an infinite number of original off-shell degrees of freedom is reduced to the finite set (in WZ-type gauge) due to an infinite number of the component gauge parameters in the analytic superfield parameters. On shell, the standard spin content (s, s − 1/2, s − 1/2, s − 1) is restored. For s = 2 the action describes the linearized version of "minimal" N = 2 Einstein supergravity.

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Higher spin supercurrents in anti-de Sitter space

Cited by 19 publications

References 0 publications

AdS superprojectors

AdS superprojectors

Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions

Unconstrained off-shell superfield formulation of $4D, \mathcal{N}=2$ supersymmetric higher spins

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