Cyclic covering morphisms on ${\bar{M}}_{0,n}$

We study cyclic covering morphisms from ${\bar{M}}_{0,n}$ to moduli spaces of unpointed stable curves of positive genus or compactified moduli spaces of principally polarized abelian varieties. Our main application is a construction of new semipositive vector bundles and nef divisors on ${\bar{M}}_{0,n}$, with a view toward the F-conjecture. In particular, we construct new extremal rays of the symmetric nef cone of ${\bar{M}}_{0,n}$. We also find an alternate description of all sl level 1 conformal blocks divisors on ${\bar{M}}_{0,n}$.