Extended superconformal higher-spin gauge theories in four dimensions

Kuzenko, Sergei M.; Raptakis, Emmanouil S. N.

doi:10.48550/arxiv.2104.10416

Cited by 6 publications

(54 citation statements)

References 48 publications

(86 reference statements)

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“…• It is of interest to explore possible relationships with the N = 2 superconformal higher spins which recently received some attention [17], [21], [22], [23]. N = 2 conformal supergravity also admits a geometric formulation in HSS [3,49], so it is natural to expect that there exist some higher spin HSS models generalizing the linearized version of such a formulation;…”

Section: Discussionmentioning

confidence: 99%

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

Buchbinder,

Ivanov,

Zaigraev

2021

Preprint

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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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Section: Discussionmentioning

confidence: 99%

“…Later, it was shown that the free supersymmetric massless higher-spin theory can be also formulated in the framework of the BRST formalism[9] 2. It is worth noting the paper[23], where 4D, N = 2 superconformal theory was formulated in terms of unconstrained N = 2 superfields. Here we do not deal with the superconformal theories.…”

mentioning

confidence: 99%

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

Buchbinder,

Ivanov,

Zaigraev

2021

Preprint

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“…We start with a review of superconformal higher-spin (SCHS) gauge multiplets [49]. Given a non-negative integer s, the conformal superspin-(s + 1) gauge multiplet is described by a real unconstrained prepotential H α(s) α(s) , which is a primary superfield, K B H α(s) α(s) = 0, defined modulo gauge transformations of the form s > 0 :…”

Section: N = 2 Duality-invariant Schs Modelsmentioning

confidence: 99%

Duality-invariant (super)conformal higher-spin models

Kuzenko,

Raptakis

2021

Preprint

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We develop a general formalism of duality rotations for bosonic conformal spin-s gauge fields, with s ≥ 2, in a conformally flat four-dimensional spacetime. In the s = 1 case this formalism is equivalent to the theory of U(1) duality-invariant nonlinear electrodynamics developed by Gaillard and Zumino, Gibbons and Rasheed, and generalised by Ivanov and Zupnik. For each integer spin s ≥ 2 we demonstrate the existence of families of conformal U(1) duality-invariant models, including a generalisation of the so called ModMax Electrodynamics (s = 1). Our bosonic results are then extended to the N = 1 and N = 2 supersymmetric cases. We also sketch a formalism of duality rotations for conformal gauge fields of Lorentz type (m/2, n/2), for positive integers m and n.1 It should be pointed out that the N = 1 supersymmetric Born-Infeld action [20] is the first nontrivial U(1) duality-invariant supersymmetric theory [21]. Its remarkable property is that it is a Goldstone multiplet action for partial N = 2 → N = 1 supersymmetry breaking in Minkowski space [22,23], as well as in the maximally supersymmetric backgrounds [24] discovered in [25]: (i) R × S 3 ; (ii) AdS 3 × R; and (iii) a supersymmetric plane wave.

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“…The superfield Lagrangian description of the free massless N = 2 higher spin supermultiplets in terms of N = 1 superfields was developed in [62,63]. Superconformal free higher spin field models in the N = 2 superfield approach were discussed in [64][65][66]. A superfield formulation of N = 1 free massive higher spin fields was constructed in [67].…”

mentioning

confidence: 99%

“…We use the bold letters s to denote the highest spin ("superspin") in N = 2 supermultiplet 3. A cubic coupling of massless on-shell hypermultiplet to higher spin superconformal gauge superfields was recently studied in[66]. Here we deal entirely with off-shell interactions and do not concern superconformal theories at all.…”

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confidence: 99%

Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields

Buchbinder,

Ivanov,

Zaigraev

2022

Preprint

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We construct manifestly 4D, N = 2 supersymmetric and gauge invariant offshell cubic couplings of matter hypermultiplets to the higher integer spin gauge N = 2 multiplets introduced in arXiv:2109.07639 [hep-th]. The hypermultiplet is described by an analytic harmonic 4D, N = 2 superfield q + with the physical component spins s = ( 1 2 , 0) and an infinite number of auxiliary fields. The cubic coupling constructed has the schematic structure q + Ĥ++ (s) q + , where Ĥ++ (s) is a differential analytic operator of the highest degree (s − 1) accommodating the massless gauge N = 2 multiplet with the highest spin s. For odd s the gauge group generators and couplings are proportional to U(1) P G generator of the internal SU(2) P G symmetry of the hypermultiplet and so do not exist if SU(2) P G is unbroken. If this U(1) P G is identified with the central charge of 4D, N = 2 supersymmetry, a mass for the hypermultiplet is generated and the odd s couplings vanish in the proper massless limit. For even s the higher-spin gauge transformations and cubic superfield couplings can be defined for both massive and massless (central-charge neutral) hypermultiplets without including U(1) P G generator. All these features directly extend to the case of n hypermultiplets with the maximal internal symmetry USp(2n) × SU(2).

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Extended superconformal higher-spin gauge theories in four dimensions

Cited by 6 publications

References 48 publications

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

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

Duality-invariant (super)conformal higher-spin models

Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields

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