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