  The level two string functions are calculated exactly for all simply laced
Lie algebras, using a ladder coset construction. These are the characters of
cosets of the type $G/U(1)^r$, where $G$ is the algebra at level two and $r$ is
its rank. This coset is a theory of generalized parafermions. A conjectured
Rogers Ramanujan type identity is described for these characters. Using the
exact string functions, we verify the Rogers Ramanujan type expressions, that
are the main focus of this work.
