Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^{2}$

TL;DR

This paper explores dimensional reductions of type II double field theory on Calabi-Yau three-folds and K3×T2, analyzing fluxes, mirror symmetry, and scalar potentials to connect higher-dimensional theories with four-dimensional gauged supergravity.

Contribution

It introduces a comprehensive reduction framework including generalized fluxes and extends the analysis to kinetic terms, enhancing understanding of mirror symmetry in string compactifications.

Findings

Derived scalar potentials consistent with gauged supergravity

Verified mirror symmetry behavior in reduced theories

Extended analysis to include kinetic terms for Calabi-Yau compactifications

Abstract

We perform dimensional reductions of type IIA and type IIB double field theory in the flux formulation on Calabi-Yau three-folds and on $K3\times T^2$. In addition to geometric and non-geometric three-index fluxes and Ramond-Ramond fluxes, we include generalized dilaton fluxes. We relate our results to the scalar potentials of corresponding four-dimensional gauged supergravity theories, and we verify the expected behavior under mirror symmetry. For Calabi-Yau three-folds we extend this analysis to the full bosonic action including kinetic terms.