Integer superspin supercurrents of matter supermultiplets

Abstract

In recent papers we demonstrated that consistent and non-trivial \emph{linear} transformations of matter supermultiplets generate half-integer superspin supercurrents and the cubic interactions between matter and half-integer superspin supermultiplets. In this work we show that consistent and non-trivial \emph{antilinear} transformations of matter superfields lead to the construction of integer superspin supercurrents and the cubic interactions between mater and integer superspin supermultiplets. Applying Noether's method to these transformations, we find new integer superspin supercurrents for the case of a free massless chiral superfield. Furthermore, we use them to find new integer superspin supercurrent multiplets for a massive chiral superfield and a chiral superfield with a linear superpotential. Also various selection rules for such interactions are found.

References in corpus (8)

• Effective action in a higher-spin background
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Higher spin supercurrents in anti-de Sitter space
• Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions
• The massless integer superspin multiplets revisited
• Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
• Higher Spin Superfield interactions with Complex linear Supermultiplet: Conserved Supercurrents and Cubic Vertices
• From Diophantus to Supergravity and massless higher spin multiplets

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• 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
• 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
• Hierarchy of Supersymmetric Higher Spin Connections
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• On massive higher spin supermultiplets in d=4
• A supersymmetric spin current
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets
• Novel $\mathcal{N}=2$ higher-spin supercurrents