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N-extended massless arbitrary integer and half-integer spin supermultipletsin four dimensional flat space are studied in the framework of light-cone gaugeformalism. For such multiplets, by using light-cone momentum superspace, webuild unconstrained light-cone gauge superfield formulation. The superfieldformulation is used to develop a superspace representation for all cubicinteractions vertices of the N-extended massless supermultiplets. Our suitabletreatment of the light-cone gauge superfields allows us to obtain attractivelysimple superspace representation for the cubic interaction vertices. Superspacerealization of relativistic symmetries of the N-extended Poincare superalgebraon space of interacting fields is also obtained.

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