Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents

Abstract

We consider cubic interactions of the form $s-Y-Y$ between a massless integer superspin $s$ supermultiplet and two massless arbitrary integer or half integer superspin $Y$ supermultiplets. We focus on non-minimal interactions generated by gauge invariant supercurrent multiplets which are bilinear in the superfield strength of the superspin $Y$ supermultiplet. We find two types of consistent supercurrents. The first one corresponds to conformal integer superspin $s$ supermultiplets, exist only for even values of $s,s=2\ell +2$, for arbitrary values of $Y$ and it is unique. The second one, corresponds to Poincaré integer superspin $s$ supermultiplets, exist for arbitrary values of $s$ and $Y$.

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Cited by in corpus (26)

• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Higher Spin Dark Matter
• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Cubic interaction vertices for massless higher spin supermultiplets in d=4
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Superspace formulation of massive half-integer superspin
• Conformal interactions between matter and higher-spin (super)fields
• $\mathcal{N}=2$ superconformal higher-spin multiplets and their hypermultiplet couplings
• Supersymmetric Quantum Chiral Higher Spin Gravity
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• Hierarchy of Supersymmetric Higher Spin Connections
• Towards A Direct Detection of the Spin of Dark Matter
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Massless higher spin cubic vertices in flat four dimmensional space
• $\mathcal{N}=2$ higher-spin supercurrents
• On massive higher spin supermultiplets in d=4
• Lagrangian formulation of free arbitrary N-extended massless higher spin supermultiplets in 4D, AdS space
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Novel $\mathcal{N}=2$ higher-spin supercurrents
• Three-point functions of higher-spin spinor current multiplets in $\mathcal{N}=1$ superconformal theory
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets