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Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts

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arxiv 2101.07272 v2 pith:HPVQ6PC7 submitted 2021-01-18 hep-th astro-ph.COhep-ph

classification hep-thastro-ph.COhep-ph
keywords calabi-yaugopakumar-vafacicyhierarchyinflationinvariantsnumberpicard
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abstract

We propose a combined mechanism to realize both winding inflation and de Sitter uplifts. We realize the necessary structure of competing terms in the scalar potential not via tuning the vacuum expectation values of the complex structure moduli, but by a hierarchy of the Gopakumar-Vafa invariants of the underlying Calabi-Yau threefold. To show that Calabi-Yau threefolds with the prescribed hierarchy actually exist, we explicitly create a database of all the genus $0$ Gopakumar-Vafa invariants up to total degree $10$ for all the complete intersection Calabi-Yau's up to Picard number $9$. As a side product, we also identify all the redundancies present in the CICY list, up to Picard number $13$. Both databases can be accessed at this link: https://www.desy.de/~westphal/GV_CICY_webpage/GVInvariants.html .

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exploring Line Bundle Standard Models with Transformers

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A Transformer trained by reinforcement learning generates heterotic line-bundle sums that satisfy anomaly-cancellation, stability, and chirality constraints, and its policy transfers usefully across Calabi-Yau geometries.

  2. Uplifts in the Penumbra: Features of the Moduli Potential away from Infinite-Distance Boundaries

    hep-th 2024-12 conditional novelty 5.0 of 10

    In the crossover region between the moduli-space interior and strict asymptotic boundaries, the flux potential of one complex structure modulus admits de Sitter uplifting minima and axion valleys with flattened potentials.

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