On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology

Understand

We study the action of mirror symmetry on two-dimensional N=(2,2) effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds.

• Our focus is on fourfold geometries with non-trivial three-form cohomology.
• The couplings of the massless zero-modes arising by expanding in these forms depend both on the complex structure deformations and the Kahler structure deformations of the Calabi-Yau fourfold.
• We argue that two holomorphic functions of the deformation moduli capture this information.