S-Matrix Approach to Massless Higher Spins Theory Ii: The Case of Internal Symmetry

The system of higher massive spins s = 0, 1, 2,… (every spin lies in o(n)-matrix algebra) is studied in the framework of the light-cone formalism. It is shown that the conditions of closure of the Poincaré-Lorentz (PL) algebra for a four-legged diagram allow one to express all the cubic interaction constants in terms of some unique universal constant. We also shown that the systems in which even (odd) spins are realized as n × n (anti) symmetric matrices admit the consistent formulation. A complete list of four-legged vertices of the theory is given.