Logarithmic degenerations of Landau-Ginzburg models for toric orbifolds and global tt^* geometry

Etienne Mann, Thomas Reichelt

Published 2016-05-28Version 1

We discuss the behavior of Landau-Ginzburg models for toric orbifolds near the large volume limit. This enables us to express mirror symmetry as an isomorphism of Frobenius manifolds which aquire logarithmic poles along a boundary divisor. If the toric orbifold admits a crepant resolution we construct a global moduli space on the B-side and show that the associated tt^*-geometry exists globally.