Cubic interaction vertices for massless higher spin supermultiplets in d=4

Abstract

We construct a range of supersymmetric cubic vertices for three massless higher spin supermultiplets in the four-dimensional space. We use frame-like multispinor formalism, which allows to avoid most of the technical difficulties and provides a uniform description for bosons and fermions. Our work is based on the so-called Fradkin-Vasiliev formalism for construction of the cubic vertices, which requires the non-zero cosmological constant. Thus we first construct the vertices in AdS space and then consider the flat limit. We show that the AdS supersymmetric vertex is a sum of four elementary vertices for supermultiplet components, while one of the vertices vanishes in the flat limit in agreement with the Metsaev's classification.

16 pages

References in corpus (9)

• Cubic interaction vertices for massive and massless higher spin fields
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
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• Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions
• Massive higher spin supermultiplets unfolded
• Integer superspin supercurrents of matter supermultiplets

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• Consistent Lagrangians for irreducible interacting higher-spin fields with holonomic constraints
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• Covariant Lagrangian Cubic Interaction Vertices For Irreducible Higher Spin Fields in Minkowski Backgrounds
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• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets
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