  We show that the representation theory for the toroidal extended affine Lie
algebras is controlled by a vertex operator algebra which is a tensor product
of four VOAs: a sub-VOA of the hyperbolic lattice VOA, two affine VOAs and a
Virasoro VOA. A tensor product of irreducible modules for these VOAs admits the
structure of an irreducible module for the toroidal extended affine Lie
algebra. We also show that for N=12, the sub-VOA of the hyperbolic lattice VOA
becomes an exceptional irreducible module for the extended affine Lie algebra
of rank 0.
