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

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

We review the Kaluza-Klein reduction of Type IIA string theory on Calabi-Yau fourfolds and apply mirror symmetry to the resulting two-dimensional $ \mathcal{N}=(2,2) $ effective theories. In the course of the reduction we focus especially on non-trivial three-form cohomology on these fourfolds and investigate the couplings of the corresponding massless …