A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}

We found new identities among the Dedekind eta-function, the characters of the W_{m} algebra and those of the level 1 affine Lie algebra su(m){1}. They allow to characterize the Z{m}-orbifold of the m-component free bosons u(1){K{m,p}} (our theory TM) as an extension of the fully degenerate representations of W_{1+infty}^{(m)}. In particular, TM is proven to be a Gamma {theta}-RCFT extension of the chiral fully degenerate W{1+infty}^{(m)}.