Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space

Abstract

N-extended massless arbitrary integer and half-integer spin supermultiplets in four dimensional flat space are studied in the framework of light-cone gauge formalism. For such multiplets, by using light-cone momentum superspace, we build unconstrained light-cone gauge superfield formulation. The superfield formulation is used to develop a superspace representation for all cubic interactions vertices of the N-extended massless supermultiplets. Our suitable treatment of the light-cone gauge superfields allows us to obtain attractively simple superspace representation for the cubic interaction vertices. Superspace realization of relativistic symmetries of the N-extended Poincare superalgebra on space of interacting fields is also obtained.

arXiv comment27 pages, v2: Typos corrected. References added

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• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• Minimal models of field theories: Chiral Higher Spin Gravity
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• Minimal model of Chiral Higher Spin Gravity
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• Supersymmetric Continuous Spin Gauge Theory
• Cubic interactions of arbitrary spin fields in 3d flat space
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• Superspace formulation of massive half-integer superspin
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• Supersymmetric Quantum Chiral Higher Spin Gravity
• Hierarchy of Supersymmetric Higher Spin Connections
• Constraining higher-spin S-matrices
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
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• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
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• Supersymmetry at BLTP: Recent Progress in Two Directions