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EnglishIn [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 imple- mentations of this mechanism among all toric Calabi-Yau hypersurfaces with h1,1 ≤ 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 h1,1 − 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.
| Titolo: | De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Rivista: | |
| 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 imple- mentations of this mechanism among all toric Calabi-Yau hypersurfaces with h1,1 ≤ 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 h1,1 − 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. |
| Handle: | http://hdl.handle.net/11368/2860854 |
| Digital Object Identifier (DOI): | 10.1007/JHEP12(2015)033 |
| URL: | http://link.springer.com/journal/13130 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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