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.

27 pages, v2: Typos corrected. References added

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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
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Off-shell Supersymmetric Continuous Spin Gauge Theory
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• A Twistorial Description of the IKKT-Matrix Model
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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
• Massless higher spin cubic vertices in flat four dimmensional space
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Lagrangian formulation of free arbitrary N-extended massless higher spin supermultiplets in 4D, AdS space
• On massive higher spin supermultiplets in d=4
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$
• On higher spin cubic interactions in d=3
• Diagonalization Procedure for Reducible Massless N=1 Supermultiplets
• Supersymmetry at BLTP: Recent Progress in Two Directions