  We prove that the pull back of the canonical theta divisor for E_8-bundles at
level one induces a strange duality between Verlinde spaces for G_2 and F_4 at
level one on smooth curves of genus g. We also prove a parabolic generalization
in terms of conformal blocks and write down identities between conformal blocks
divisors in the Picard group of \bar-M_{g,n}.
