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arXiv · 2212.03876

Heterotic de Sitter Beyond Modular Symmetry

Jacob M. Leedom·Nicole Righi·Alexander Westphal
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Abstract

We study the vacua of $4d$ heterotic toroidal orbifolds using effective theories consisting of an overall K\"{a}hler modulus, the dilaton, and non-perturbative corrections to both the superpotential and K\"{a}hler 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$(2,\mathbb{Z})$ fundamental domain of the K\"{a}hler 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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Jacob M. Leedom, Nicole Righi, Alexander Westphal. 2022-12-07. Heterotic de Sitter Beyond Modular Symmetry. https://doi.org/10.1007/jhep02(2023)209

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