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Gopakumar-Vafa hierarchies in winding inflation and uplifts

Carta, Federico and Mininno, Alessandro and Righi, Nicole and Westphal, Alexander (2021) 'Gopakumar-Vafa hierarchies in winding inflation and uplifts.', Journal of high energy physics., 2021 (5). p. 271.


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 (∼westphal/GV_CICY_webpage/GVInvariants.html).

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Publisher statement:Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:09 May 2021
Date deposited:28 July 2021
Date of first online publication:28 May 2021
Date first made open access:28 July 2021

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