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

Philip Betzler; Erik Plauschinn

doi:10.1016/j.nuclphysb.2018.06.012

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arXiv · 1712.08382

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

Philip Betzler·Erik Plauschinn

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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.

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Philip Betzler, Erik Plauschinn. 2017-12-22. Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^{2}$. https://doi.org/10.1016/j.nuclphysb.2018.06.012

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