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arXiv · 1509.06918

De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications

Andreas P. Braun·Markus Rummel·Yoske Sumitomo·Roberto Valandro
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Abstract

In arXiv:1407.7580 a mechanism to fix the closed string moduli in a de Sitter minimum was proposed: a D-term potential generates a linear relation between the volumes of two rigid divisors which in turn produces at lower energies a race-track potential with de Sitter minima at exponentially large volume. In this paper, we systematically search for implementations of this mechanism among all toric Calabi-Yau hypersurfaces with $h^{1,1}\leq 4$ from the Kreuzer-Skarke list. For these, topological data can be computed explicitly allowing us to find the subset of three-folds which have two rigid toric divisors that do not intersect each other and that are orthogonal to $h^{1,1}-2$ independent four-cycles. These manifolds allow to find D7-brane configurations compatible with the de Sitter uplift mechanism and we find an abundance of consistent choices of D7-brane fluxes inducing D-terms leading to a de Sitter minimum. Finally, we work out a couple of models in detail, checking the global consistency conditions and computing the value of the potential at the minimum.

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Andreas P. Braun, Markus Rummel, Yoske Sumitomo, Roberto Valandro. 2015-09-23. De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications. https://doi.org/10.1007/jhep12(2015)033

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