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Journal Article | PUBDB-2023-01107 |
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2023
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Please use a persistent id in citations: doi:10.1007/JHEP02(2023)209 doi:10.3204/PUBDB-2023-01107
Report No.: DESY 22-173; KCL-PH-TH/2022-54; arXiv:2212.03876
Abstract: We study the vacua of 4d heterotic toroidal orbifolds using effective theories consisting of an overall Kähler modulus, the dilaton, and non-perturbative corrections to both the superpotential and Kähler potential that respect modular invariance. We prove three de Sitter no-go theorems for several classes of vacua and thereby substantiate and extend previous conjectures. Additionally, we provide evidence that extrema of the scalar potential can occur inside the PSL(2, $ℤ$) fundamental domain of the Kähler modulus, in contradiction of a separate conjecture. We also illustrate a loophole in the no-go theorems and determine criteria that allow for metastable de Sitter vacua. Finally, we identify inherently stringy non-perturbative effects in the dilaton sector that could exploit this loophole and potentially realize de Sitter vacua.
Keyword(s): vacuum state: de Sitter ; potential: scalar ; effect: nonperturbative ; correction: nonperturbative ; invariance: modular ; orbifold: torus ; dilaton ; heterotic ; superpotential ; string ; de Sitter space ; Superstring Vacua ; Superstrings and Heterotic Strings
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Heterotic de Sitter Beyond Modular Symmetry
[10.3204/PUBDB-2022-06518]
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