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Preprint | PUBDB-2022-06518 |
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2022
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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-06518
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 Kahler modulus, the dilaton, and non-perturbative corrections to both the superpotential and Kahler potential that respect modular invariance. We prove two de Sitter no-go theorems for several classes of vacua and thereby substantiate previous conjectures. Additionally, we provide evidence that extrema of the scalar potential can occur inside the SL(2,$\mathbb{Z}$) fundamental domain of the Kahler 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.
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Journal Article
Heterotic de Sitter beyond modular symmetry
Journal of high energy physics 02(2), 209 (2023) [10.1007/JHEP02(2023)209]
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