Dynamical decoupling and Kac-Moody current representation in multicomponent integrable systems

The conformal invariant charcter of n-multicomponent integrable systems is described from the point of veiw of the response to the curvature of the two-dimensional space. The ν×ν dressed-charge matrix, which determines the dimensions of the primary fields, is shown to be a representation of the momentum Fourier components of the diagonal generators of ν independent Kac-Moody algebras in the basis of the ground state and gapless excitations of momentum k→$0^{\pm }$. The dynamical decoupling which occurs in these systems is characterized in terms of the conductivities associated with the diagonal generators.