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Motivated by construction of isospin generators in particle physics (builtform the SU(2) algebra), we find an equivalence between the algebra of thesegenerators and those of the Virasoro algebra. The form of the startinggenerators is fixed and in order to obtain a full equivalence we introduce anew matrix product. The Cartan structure of the starting algebra is reproducedfor the Virasoro-like case and a natural BRST quantization as in String FieldTheory is ``induced'' in the Fock space of the creation/annihilation operators.Following this procedure, we find a rather trivial Lie algebra form which weobtain a gauge theory of an infinity on non-interacting massless particles ofarbitrary integer spin and symmetry. Among others we find the free Maxwellfield, the free (linearized) gravitational field and also the axion field withtheir appropriate gauge transformations.

From isospin generators to BRST quantization of higher spin massless fields