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

Buchbinder, Ioseph; Ivanov, Evgeny; Zaigraev, Nikita

doi:10.48550/arxiv.2109.07639

Cited by 5 publications

(15 citation statements)

References 41 publications

(53 reference statements)

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“…In this section we summarize the main results of [7]. We present all the necessary information about description of N = 2 higher spin supermultiplets in harmonic superspace.…”

Section: Analytic Prepotentials and Invariant Actionmentioning

confidence: 99%

“…We present all the necessary information about description of N = 2 higher spin supermultiplets in harmonic superspace. Detailed examples of spin 2 and spin 3 description were given in [7], here we will at once deal with the general structure of arbitrary spin s theory.…”

Section: Analytic Prepotentials and Invariant Actionmentioning

confidence: 99%

“…We begin with the free hypermultiplet theory in harmonic superspace and find for this theory an infinite set of higher-derivative global symmetry transformations. The localization of these transformations in the harmonic analytic superspace requires introducing the corresponding higher spin gauge harmonic superfields with the gauge group already described in [7]. As a result, we arrive at the manifestly N = 2 supersymmetric cubic interactions of the hypermultiplet with the higher spin gauge superfields, in the first order in the latter 3 .…”

mentioning

confidence: 97%

“…In a recent paper [7] we have constructed the completely off-shell manifestly N = 2 supersymmetric superfield extension of arbitrary 4D integer-spin free massless theory. The construction was based on the harmonic superspace method [5,6], which so confirmed its universal role as the most adequate and convenient approach to 4D, N = 2 supersymmetric field theories.…”

mentioning

confidence: 99%

“…As regards the higher-spin gauge superfields, we deal with the same linearized actions for them as in ref. [7].…”

mentioning

confidence: 99%

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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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“…In this section we summarize the main results of [7]. We present all the necessary information about description of N = 2 higher spin supermultiplets in harmonic superspace.…”

Section: Analytic Prepotentials and Invariant Actionmentioning

confidence: 99%

Section: Analytic Prepotentials and Invariant Actionmentioning

confidence: 99%

mentioning

confidence: 97%

mentioning

confidence: 99%

“…As regards the higher-spin gauge superfields, we deal with the same linearized actions for them as in ref. [7].…”

mentioning

confidence: 99%

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

Buchbinder,

Ivanov,

Zaigraev

2022

Preprint

Self Cite

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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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Generalised superconformal higher-spin multiplets

Kuzenko

Ponds

Raptakis

2021

J. High Energ. Phys.

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We propose generalised $$ \mathcal{N} $$ N = 1 superconformal higher-spin (SCHS) gauge multiplets of depth t, $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , with n ≥ m ≥ 1. At the component level, for t > 2 they contain generalised conformal higher-spin (CHS) gauge fields with depths t − 1, t and t + 1. The supermultiplets with t = 1 and t = 2 include both ordinary and generalised CHS gauge fields. Super-Weyl and gauge invariant actions describing the dynamics of $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t on conformally-flat superspace backgrounds are then derived. For the case n = m = t = 1, corresponding to the maximal-depth conformal graviton supermultiplet, we extend this action to Bach-flat backgrounds. Models for superconformal non-gauge multiplets, which are expected to play an important role in the Bach-flat completions of the models for $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , are also provided. Finally we show that, on Bach-flat backgrounds, requiring gauge and Weyl invariance does not always determine a model for a CHS field uniquely.

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

Cited by 5 publications

References 41 publications

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

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

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

Generalised superconformal higher-spin multiplets

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