Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry

Hutomo, Jessica; Kuzenko, Sergei M.

doi:10.1016/j.physletb.2018.10.060

Cited by 9 publications

(21 citation statements)

References 68 publications

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“…There exist two off-shell formulations for a massless multiplet of half-integer superspin (s + 1 2 ) in (2,0) AdS superspace [1], with s = 2, 3, . .…”

Section: Massless Higher-spin Models: Type II Seriesmentioning

confidence: 99%

“…In this section we carry out the N = 1 AdS superspace reduction of the type III theory [1] following the procedure employed in section 3.…”

Section: Massless Higher-spin Models: Type III Seriesmentioning

confidence: 99%

“…In three spacetime dimensions, the AdS group is a product of two simple groups, SO(2, 2) ∼ = SL(2, R) × SL(2, R) /Z 2 , (1.1) and so are its supersymmetric extensions OSp(p|2; R) × OSp(q|2; R). 1 This implies that N -extended AdS supergravity exists in several incarnations [2], which are known as the (p, q) AdS supergravity theories, where the integers p ≥ q ≥ 0 are such that N = p + q.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, we develop a formalism to reduce every field theory with (2,0) AdS supersymmetry to N = 1 AdS superspace. This formalism is then applied to carry out the (2, 0) → (1, 0) AdS reduction of the off-shell massless higher-spin supermultiplets in AdS (3|2,0) constructed in [1]. There are at least two motivations for pursuing such an application.…”

Section: Introductionmentioning

confidence: 99%

“…As nontrivial examples, we consider supersymmetric nonlinear sigma models formulated in terms of N = 2 chiral and linear supermultiplets. The (2, 0) → (1, 0) AdS reduction technique is then applied to the off-shell massless higher-spin supermultiplets in (2,0) AdS superspace constructed in [1]. As a result, for each superspin valueŝ, integer (ŝ = s) or half-integer (ŝ = s + 1 2 ), with s = 1, 2, .…”

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confidence: 99%

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Field theories with (2,0) AdS supersymmetry in N=1 AdS superspace

Hutomo

Kuzenko

2019

Phys. Rev. D

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In three dimensions, it is known that field theories possessing extended (p, q) anti-de Sitter (AdS) supersymmetry with N = p + q ≥ 3 can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory with (2,0) AdS supersymmetry to N = 1 AdS superspace. As nontrivial examples, we consider supersymmetric nonlinear sigma models formulated in terms of N = 2 chiral and linear supermultiplets. The (2, 0) → (1, 0) AdS reduction technique is then applied to the off-shell massless higher-spin supermultiplets in (2,0) AdS superspace constructed in [1]. As a result, for each superspin valueŝ, integer (ŝ = s) or half-integer (ŝ = s + 1 2 ), with s = 1, 2, . . . , we obtain two off-shell formulations for a massless N = 1 superspin-ŝ multiplet in AdS 3 . These models prove to be related to each other by a superfield Legendre transformation in the flat superspace limit, but the duality is not lifted to the AdS case. Two out of the four series of N = 1 supersymmetric higher-spin models thus derived are new. The constructed massless N = 1 supersymmetric higher-spin actions in AdS 3 are used to formulate (i) higher-spin supercurrent multiplets in N = 1 AdS superspace; and (ii) new topologically massive higher-spin off-shell supermultiplets. Examples of N = 1 higher-spin supercurrents are given for models of a complex scalar supermultiplet. We also present two new off-shell formulations for a massive N = 1 gravitino supermultiplet in AdS 3 .

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“…There exist two off-shell formulations for a massless multiplet of half-integer superspin (s + 1 2 ) in (2,0) AdS superspace [1], with s = 2, 3, . .…”

Section: Massless Higher-spin Models: Type II Seriesmentioning

confidence: 99%

“…In this section we carry out the N = 1 AdS superspace reduction of the type III theory [1] following the procedure employed in section 3.…”

Section: Massless Higher-spin Models: Type III Seriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Field theories with (2,0) AdS supersymmetry in N=1 AdS superspace

Hutomo

Kuzenko

2019

Phys. Rev. D

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Conformal geometry and (super)conformal higher-spin gauge theories

Kuzenko

Ponds

2019

J. High Energ. Phys.

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We develop a manifestly conformal approach to describe linearised (super)conformal higher-spin gauge theories in arbitrary conformally flat backgrounds in three and four spacetime dimensions. Closed-form expressions in terms of gauge prepotentials are given for gauge-invariant higher-spin (super) Cotton and (super) Weyl tensors in three and four dimensions, respectively. The higher-spin (super) Weyl tensors are shown to be conformal primary (super)fields in arbitrary conformal (super)gravity backgrounds, however they are gauge invariant only if the background (super) Weyl tensor vanishes. The proposed higherspin actions are (super) Weyl-invariant on arbitrary curved backgrounds, however the appropriate higher-spin gauge invariance holds only in the conformally flat case. We also describe conformal models for generalised gauge fields that are used to describe partially massless dynamics in three and four dimensions. In particular, generalised higher-spin Cotton and Weyl tensors are introduced.

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Linearised actions for $$ \mathcal{N} $$ -extended (higher-spin) superconformal gravity

Buchbinde

Hutchings

Hutomo

et al. 2019

J. High Energ. Phys.

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The off-shell actions for N -extended conformal supergravity theories in three dimensions were formulated in [1,2] for 1 ≤ N ≤ 6 using a universal approach. Each action is generated by a closed super three-form which is constructed in terms of the constrained geometry of N -extended conformal superspace. In this paper we initiate a program to recast these actions (and to formulate their higher-spin counterparts) in terms of unconstrained gauge prepotentials as integrals over the full superspace. We derive transverse projection operators in N -extended Minkowski superspace and then use them to construct linearised rank-n super-Cotton tensors and off-shell N -extended superconformal actions. We also propose off-shell gauge-invariant actions to describe massive higher-spin supermultiplets in N -extended supersymmetry. Our analysis leads to general expressions for identically conserved higher-spin current multiplets in N -extended supersymmetry.2 The N = 1 and N = 2 conformal supergravity theories were constructed for the first time by van Nieuwenhuizen [15] and Roček and van Nieuwenhuizen [16], respectively. The off-shell action for N = 6 conformal supergravity was independently derived by Nishimura and Tanii [17]. On-shell formulations for N -extended conformal supergravity with N > 2 were given in [18,19].

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Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry

Cited by 9 publications

References 68 publications

Field theories with (2,0) AdS supersymmetry in N=1 AdS superspace

Field theories with (2,0) AdS supersymmetry in N=1 AdS superspace

Conformal geometry and (super)conformal higher-spin gauge theories

Linearised actions for $$ \mathcal{N} $$ -extended (higher-spin) superconformal gravity

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