%0 Journal Article %T Strange Duality of Verlinde spaces for G_2 and F_4 %A Swarnava Mukhopadhyay %J Mathematics %D 2015 %I arXiv %X 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}. %U http://arxiv.org/abs/1504.03757v2