Generalised superconformal higher-spin multiplets

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

doi:10.48550/arxiv.2011.11300

Cited by 4 publications

(9 citation statements)

References 55 publications

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“…First of all, it would be interesting to extend some of our N = 2 superconformal gauge models to non-conformally flat supergravity backgrounds. 7 In particular, there must exist a consistent deformation of the linearised action for N = 2 conformal supergravity (3.28) to arbitrary Bach-flat backgrounds described by eq. (A.15).…”

Section: Discussionmentioning

confidence: 99%

“…For further details regarding their dual gauge prepotentials and the superconformal field theories they induce, we refer the reader to [3][4][5][6]. See also [7] for their higher-depth generalisations.…”

Section: Reduction To N = 1 Superspacementioning

confidence: 99%

“…In four dimensions, off-shell N = 1 superconformal higher-spin prepotentials were briefly discussed by Howe, Stelle and Townsend in the framework of supercurrent multiplets in 1981 [1], a few years before Fradkin and Tseytlin [2] constructed the free conformal higher-spin actions in Minkowski space. It was only in the last few years that these prepotentials and more general off-shell gauge supermultiplets were finally used to construct free N = 1 superconformal higher-spin gauge theories in Minkowski space [3] and arbitrary conformally flat and Bach flat backgrounds [4][5][6][7]. Parallel studies in three dimensions (3D) to describe superconformal higher-spin multiplets and the corresponding Chern-Simons actions were conducted [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…The construction of gauge-invariant models for conformal higher-spin (super)fields in curved (super)gravity backgrounds has been an active area of research[3,4,6,7,[39][40][41][42][43] 8. This proposal is analogous to the one put forward in the N = 1 superconformal case[3].…”

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confidence: 99%

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Extended superconformal higher-spin gauge theories in four dimensions

Kuzenko,

Raptakis

2021

Preprint

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Section: Discussionmentioning

confidence: 99%

Section: Reduction To N = 1 Superspacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Extended superconformal higher-spin gauge theories in four dimensions

Kuzenko,

Raptakis

2021

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“…Such considerations are beyond the scope of the current paper and present an interesting avenue for further work. It would also be interesting to study duality-invariant models of the higher-depth (super)fields of [35,84].…”

Section: Discussionmentioning

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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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

Cited by 4 publications

References 55 publications

Extended superconformal higher-spin gauge theories in four dimensions

Extended superconformal higher-spin gauge theories in four dimensions

Duality-invariant (super)conformal higher-spin models

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

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