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Using light-cone gauge formulation, massive arbitrary spin irreducible fieldsand massless (scalar and one-half spin) fields in three-dimensional flat spaceare considered. Both the integer spin and half-integer spin fields are studied.For such fields, we provide classification for cubic interactions and obtainexplicit expressions for all cubic interaction vertices. We study two forms ofthe cubic interaction vertices which we refer to as first-derivative form andhigher-derivative form. All cubic interaction vertices are built by using thefirst-derivative form.

Cubic interactions of arbitrary spin fields in 3d flat space