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Non-geometric Calabi-Yau compactifications in string theory

Abstract : String theories are candidates for a quantum formulation of gravity and grant a unified framework to describe all known interactions. In the mid-90s, it was conjectured that all superstring theories were related to one another through a web of dualities; these dualities play a key role in string theory as they allow to understand non-perturbative features which would otherwise remain out of reach. In this thesis, we derive dual heterotic models to a class of non-geometric constructions obtained from the reduction of the type IIA string on a free orbifold of K3×T2;; in particular, we show how non-perturbative consistency conditions invisible from either description alone must be taken into account. These models preserve N=2 supersymmetry in four dimensions; while such models only contain non-chiral multiplets and may therefore not, as such, be phenomenologically relevant, they are very important from a theoretical point of view as they are both simple enough to allow for a detailed analysis and unconstrained enough to exhibit interesting features. We compute in particular supersymmetry-protected indices, constructed from special states in the spectrum known as BPS states, in the heterotic frame which are expected to give informations about solitonic states in the type IIA perspective. Finally, we analyse the moduli space – that is the manifold spanned by massless scalar fields – from both heterotic and type IIA formulations; in particular, while the submanifold spanned by scalars living in hypermultiplets is hard to analyse for usual (geometric) Calabi-Yau compactifications of the type II string, we show that it may be exactly derived in perturbation theory in our case.
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Submitted on : Friday, July 2, 2021 - 2:33:08 PM
Last modification on : Tuesday, July 13, 2021 - 3:26:43 AM


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  • HAL Id : tel-03276845, version 1


Yoan Gautier. Non-geometric Calabi-Yau compactifications in string theory. Quantum Physics [quant-ph]. Sorbonne Université, 2020. English. ⟨NNT : 2020SORUS141⟩. ⟨tel-03276845⟩



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