  We derive the Kac Wakimoto formula in the algebraic framework of chiral
conformal QFT s a consequence of the universal behaviour of high-temperature
Gibbs-states on intertwiner subalgebras. By studying selfintertwiners in the
presence of other charges, we obtain charge-polarization coefficients which
generalize the entries of Verlinde matrix S and belong to higher genus mapping
class group matrices.
