Systematics of type IIB moduli stabilisation with odd axions
Publication Date
2021-09-29Journal Title
Journal of High Energy Physics
ISSN
1126-6708
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
4
Language
en
Type
Article
This Version
VoR
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Cicoli, M., Schachner, A., & Shukla, P. (2021). Systematics of type IIB moduli stabilisation with odd axions. Journal of High Energy Physics, 2022 (4) https://doi.org/10.1007/JHEP04(2022)003
Abstract
Moduli stabilisation in superstring compactifications on Calabi-Yau
orientifolds remains a key challenge in the search for realistic string vacua.
In particular, odd moduli arising from the reduction of 2-forms $(B_2,C_2)$ in
type IIB are largely unexplored despite their relevance for inflationary model
building. This article provides novel insights into the general structure of 4D
$\mathcal{N}=1$ $F$-term scalar potentials at higher orders in the
$\alpha^{\prime}$ and $g_{s}$ expansion for arbitrary Hodge numbers. We
systematically examine superpotential contributions with distinct moduli
dependences which are induced by fluxes or non-perturbative effects. Initially,
we prove the existence of a no-scale structure for odd moduli in the presence
of $(\alpha^\prime)^{3}$ corrections to the K\"ahler potential. By studying a
partially $\mathrm{SL}(2,\mathbb{Z})$-completed form of the K\"ahler potential,
we derive the exact no-scale breaking effects at the closed string $1$-loop and
non-perturbative D-instanton level. These observations allow us to present
rigorous expressions for the $F$-term scalar potential applicable to arbitrary
numbers of moduli in type IIB Calabi-Yau orientifold compactifications.
Finally, we compute the Hessian for odd moduli and discuss potential
phenomenological implications.
Keywords
Regular Article - Theoretical Physics, Flux Compactifications, Superstring Vacua
Identifiers
jhep04(2022)003, 18110
External DOI: https://doi.org/10.1007/JHEP04(2022)003
This record's URL: https://www.repository.cam.ac.uk/handle/1810/335739
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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