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dc.contributor.authorCicoli, M
dc.contributor.authorSchachner, A
dc.contributor.authorShukla, P
dc.date.accessioned2022-04-04T15:00:25Z
dc.date.available2022-04-04T15:00:25Z
dc.date.issued2021-09-29
dc.date.submitted2021-10-18
dc.identifier.issn1126-6708
dc.identifier.otherjhep04(2022)003
dc.identifier.other18110
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/335739
dc.description.abstractModuli 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.languageen
dc.publisherSpringer Science and Business Media LLC
dc.subjectRegular Article - Theoretical Physics
dc.subjectFlux Compactifications
dc.subjectSuperstring Vacua
dc.titleSystematics of type IIB moduli stabilisation with odd axions
dc.typeArticle
dc.date.updated2022-04-04T15:00:25Z
prism.issueIdentifier4
prism.publicationNameJournal of High Energy Physics
prism.volume2022
dc.identifier.doi10.17863/CAM.83176
dcterms.dateAccepted2022-03-15
rioxxterms.versionofrecord10.1007/JHEP04(2022)003
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidSchachner, A [0000-0002-7287-1476]
dc.contributor.orcidShukla, P [0000-0001-9187-7702]
dc.identifier.eissn1029-8479
cam.issuedOnline2022-04-01
dc.identifier.arxiv2109.14624


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