Fermionic higher-spin triplets in AdS

Agugliaro, Alessandro; Azzurli, Francesco; Sorokin, Dmitri

doi:10.1016/j.nuclphysb.2016.04.022

Cited by 8 publications

(9 citation statements)

References 42 publications

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“…5 It is worth pointing out that the Fang-Fronsdal action for a massless spin-(s + 1 2 ) field [13] is also described in terms of a triplet of fermionic gauge fields, Ψ α(s+1)α(s) , Ψ α(s−1)α(s) and Ψ α(s−1)α(s−2) and their conjugates, if one makes use of the two-component spinor notation, see section 6.9 of [44]. More generally, there exist bosonic and fermionic higher-spin triplet models in higher dimensions [45,46,47,48,49]. On-shell supersymmetric formulations for the generalised triplets in diverse dimensions have recently been given in [50].…”

Section: Massive Higher-spin Actions In Ads Spacementioning

confidence: 99%

“…where the Lagrangian L is a scalar superfield. In accordance with the general formalism described in section 6.4 of [44], the isometry transformations of AdS 3|2 are generated by the Killing vector fields ξ A E A which are defined to obey the master equation [65] ξ 49) for some Lorentz superfield parameter Λ bc = −Λ cb . An infinitesimal isometry transformation acts on a tensor superfield T as…”

Section: From Ads Superspace To Ads Spacementioning

confidence: 99%

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Topologically massive higher spin gauge theories

Kuzenko

Ponds

2018

J. High Energ. Phys.

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We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer n > 2 we introduce a conformal spin-n 2 gauge field h (n) = h α 1 ...αn (with n spinor indices) of dimension (2 − n/2) and argue that it possesses a Weyl primary descendant C (n) of dimension (1 + n/2). The latter proves to be divergenceless and gauge invariant in any conformally flat space. Primary fields C (3) and C (4) coincide with the linearised Cottino and Cotton tensors, respectively. Associated with C (n) is a Chern-Simons-type action that is both Weyl and gauge invariant in any conformally flat space. These actions, which for n = 3 and n = 4 coincide with the linearised actions for conformal gravitino and conformal gravity, respectively, are used to construct gauge-invariant models for massive higher-spin fields in Minkowski and anti-de Sitter space. In the former case, the higher-derivative equations of motion are shown to be equivalent to those first-order equations which describe the irreducible unitary massive spin-n 2 representations of the 3D Poincaré group. Finally, we develop N = 1 supersymmetric extensions of the above results.

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Section: Massive Higher-spin Actions In Ads Spacementioning

confidence: 99%

Section: From Ads Superspace To Ads Spacementioning

confidence: 99%

Topologically massive higher spin gauge theories

Kuzenko

Ponds

2018

J. High Energ. Phys.

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“…Let us impose all the differential constraints via BRST operator, while all the algebraic constraints or, more precisely, their appropriate BRST invariant extensions we impose directly in the representation space. In the case of integer spin fields, this reproduces [28,48] the triplet formulation discussed previously in [49][50][51][52][53][54]. As we are going to see for half-integer spin fields this gives the extended description from which the familiar triplet formulation of [50,51] can be obtained by eliminating auxiliary fields and solving constraints.…”

Section: Extended Triplet Formulationmentioning

confidence: 60%

Unified formulation for helicity and continuous spin fermionic fields

Alkalaev

Chekmenev

Grigoriev

2018

J. High Energ. Phys.

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We propose a unified BRST formulation of general massless fermionic fields of arbitrary mixed-symmetry type in d-dimensional Minkowski space. Depending on the value of the real parameter the system describes either helicity fields or continuous spin fields. Starting with the unified formulation we derive a number of equivalent descriptions including the triplet formulation, Fang-Fronsdal-Labastida formulation, light-cone formulation and discuss the unfolded formulation.

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“…In Minkowski superspace, the action (4.28a) simplifies into In the bosonic sector, we have the following set of fields: The component structure of the obtained supermultiplets is a three-dimensional counterpart of so-called (reducible) higher-spin triplet systems. In AdS D an action for bosonic higher-spin triplets was constructed in [66] and for fermionic triplets in [67,68]. Our superfield construction provides a manifestly off-shell supersymmetric generalisation of these systems.…”

Section: B2 Massless Superspin-(s + 1 2 ) Actionmentioning

confidence: 99%

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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Fermionic higher-spin triplets in AdS

Abstract: We derive a metric-like Lagrangian and equations of motion, in AdS space, for multiplets of fermionic fields with spin ranged from 1/2 to s, from their frame-like formulation.Comment: 1+13 pages, v3: typos corrected, references adde

Cited by 8 publications

References 42 publications

Topologically massive higher spin gauge theories

Topologically massive higher spin gauge theories

Unified formulation for helicity and continuous spin fermionic fields

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

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