Motivated by the growing interest in the existence of new massive gauge bosons, we suggest that massive dark photons A0 can be a consequence of a broken new abelian symmetry U(1)'X. Such a dark symmetry U(1)'D is afterwards supposed to be associated with the conservation of the weak number W belonging to the Weakling Interacting Slim Particles U(1)'W, being a strong candidate for Hot Dark Matter. The latters correspond then to light dark photons m'A inf keV from a weak symmetry breaking scale sup 10keV.

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