An implicit decoupling for the dilatons and the axions of the heterotic string

A set of consistency conditions is derived for the massless sector of the D-dimensional E8×E8 heterotic string. Under the solvable Lie algebra gauge these conditions are further formulated explicitly in terms of the dilatons and the axions. It is then shown that these consistency conditions which are satisfied by the solution space give way to an implicit decoupling between the coset scalar sector namely the dilatons and the axions and the gauge fields of the theory.