dc.contributor.author Cicoli, M dc.contributor.author Schachner, A dc.contributor.author Shukla, P dc.date.accessioned 2022-04-04T15:00:25Z dc.date.available 2022-04-04T15:00:25Z dc.date.issued 2021-09-29 dc.date.submitted 2021-10-18 dc.identifier.issn 1126-6708 dc.identifier.other jhep04(2022)003 dc.identifier.other 18110 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/335739 dc.description.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. dc.language en dc.publisher Springer Science and Business Media LLC dc.subject Regular Article - Theoretical Physics dc.subject Flux Compactifications dc.subject Superstring Vacua dc.title Systematics of type IIB moduli stabilisation with odd axions dc.type Article dc.date.updated 2022-04-04T15:00:25Z prism.issueIdentifier 4 prism.publicationName Journal of High Energy Physics prism.volume 2022 dc.identifier.doi 10.17863/CAM.83176 dcterms.dateAccepted 2022-03-15 rioxxterms.versionofrecord 10.1007/JHEP04(2022)003 rioxxterms.version VoR rioxxterms.licenseref.uri http://creativecommons.org/licenses/by/4.0/ dc.contributor.orcid Schachner, A [0000-0002-7287-1476] dc.contributor.orcid Shukla, P [0000-0001-9187-7702] dc.identifier.eissn 1029-8479 cam.issuedOnline 2022-04-01 dc.identifier.arxiv 2109.14624
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