Degrees of freedom of massless boson and fermion fields in any even dimension

This is a discussion on degrees of freedom of massless fermion and boson fields, if they are free or weakly interacting. We generalize the gauge fields of $S^{ab}$ - ${\omega }_{abc}$ - and of ${\tilde{S}}^{ab}$ - ${\tilde{\omega }}_{abc}$ - of the spin-charge-family to the gauge fields of all possible products of ${\gamma }^a$’s and of all possible products of ${\tilde{\gamma }}^a$’s, the first taking care in the {\it spin-charge-family} theory of the spins and charges quantum numbers ($\tau^{Ai}=\sum_{a,b} c^{Ai}{}{ab} ,S^{ab}$)offermions,thesecond($\tilde{\tau}^{Ai}= \sum{a,b} \tilde{c}^{Ai}{}_{ab}, \tilde{S}^{ab}$) taking care of the families quantum numbers.