Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space

Metsaev, R.R.

doi:10.1007/jhep12(2021)069

Cited by 4 publications

(3 citation statements)

References 72 publications

(132 reference statements)

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“…12 In 3d flat spacetime, see for example [68][69][70]. 13 We note that on-shell description of integer and half-integer massive supermultiplets was first found in [72].…”

Section: A Conventionsmentioning

confidence: 96%

Off-shell supersymmetric continuous spin gauge theory

Najafizadeh

2022

J. High Energ. Phys.

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We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1], we employ an auxiliary field to close the algebra of supersymmetry transformations off-shell. The 4d $$ \mathcal{N} $$ N = 1 massless continuous spin supermultiplet is then denoted by (Φ, H; Ψ), comprised of a dynamical and a non-dynamical complex scalar continuous spin gauge fields Φ and H, as well as a Dirac continuous spin gauge field Ψ. In particular, we demonstrate that the off-shell continuous spin supermultiplet, in a limit, reproduces off-shell supersymmetry transformations of the known scalar supermultiplet (0, 1/2), all integer-spin supermultiplets (s, s + 1/2), s ≥ 1, and all half-integer spin supermultiplets (s − 1/2, s), s ≥ 1.

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“…12 In 3d flat spacetime, see for example [68][69][70]. 13 We note that on-shell description of integer and half-integer massive supermultiplets was first found in [72].…”

Section: A Conventionsmentioning

confidence: 96%

Off-shell supersymmetric continuous spin gauge theory

Najafizadeh

2022

J. High Energ. Phys.

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“…Alternatively, cubic vertices for D = 3, N = 2 supersymmetric massive higher spins without central charges can be constructed, using the method described in the Appendix [53].…”

Section: General Argument For One Loop Amplitudesmentioning

confidence: 99%

Supersymmetric Quantum Chiral Higher Spin Gravity

Tsulaia¹,

Weissman²

2022

Preprint

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We study quantum properties of supersymmetric N = 1 and N = 4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs)We discuss the spectra, the classical actions and define the Feynman rules in N = 1 and N = 4 superspaces in the light-front gauge. Using these Feynman rules, we compute tree and one-loop amplitudes for these systems. A dimensional reduction to a system with N = 2 supersymmetry and with massive higher spin fields is performed and quantum properties of this system are discussed.

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“…Alternatively, cubic vertices for D = 3, N = 2 supersymmetric massive higher spins without central charges can be constructed, using the method described in the appendix [59]. Before proceeding further, let us note, that the quantum consistency of the higher dimensional theory is not a priori preserved by the dimensional reduction, and therefore has to be checked separately [60].…”

Section: Jhep12(2022)002mentioning

confidence: 99%

Supersymmetric quantum chiral higher spin gravity

Tsulaia

Weissman

2022

J. High Energ. Phys.

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We study quantum properties of supersymmetric $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs). We discuss the spectra, the classical actions and define the Feynman rules in $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 4 superspaces in the light-front gauge. Using these Feynman rules, we compute tree and one-loop amplitudes for these systems. A dimensional reduction to a system with $$ \mathcal{N} $$ N = 2 supersymmetry and with massive higher spin fields is performed and quantum properties of this system are discussed.

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Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space

Cited by 4 publications

References 72 publications

Off-shell supersymmetric continuous spin gauge theory

Off-shell supersymmetric continuous spin gauge theory

Supersymmetric Quantum Chiral Higher Spin Gravity

Supersymmetric quantum chiral higher spin gravity

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