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We use light-cone gauge formalism to study interacting massive and masslesscontinuous-spin fields and finite component arbitrary spin fields propagatingin the flat space. Cubic interaction vertices for such fields are considered.We obtain parity invariant cubic vertices for coupling of one continuous-spinfield to two arbitrary spin fields and cubic vertices for coupling of twocontinuous-spin fields to one arbitrary spin field. Parity invariant cubicvertices for self-interacting massive/massless continuous-spin fields are alsoobtained. We find the complete list of parity invariant cubic vertices forcontinuous-spin fields and arbitrary spin fields.

Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields