Veronese quotient models of ${\bar{M}}_{0,n}$ and conformal blocks

The moduli space ${\bar{M}}_{0,n}$ of Deligne-Mumford stable n-pointed rational curves admits morphisms to spaces recently constructed by Giansiracusa, Jensen, and Moon that we call Veronese quotients. We study divisors on ${\bar{M}}_{0,n}$ associated to these maps and show that these divisors arise as first Chern classes of vector bundles of conformal blocks.