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Gopakumar-Vafa hierarchies in winding inflation and uplifts

Carta, Federico; Mininno, Alessandro; Righi, Nicole; Westphal, Alexander

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Authors

Alessandro Mininno

Nicole Righi

Alexander Westphal



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).

Citation

Carta, F., Mininno, A., Righi, N., & Westphal, A. (2021). Gopakumar-Vafa hierarchies in winding inflation and uplifts. Journal of High Energy Physics, 2021(5), Article 271. https://doi.org/10.1007/jhep05%282021%29271

Journal Article Type Article
Acceptance Date May 9, 2021
Online Publication Date May 28, 2021
Publication Date 2021
Deposit Date Jul 28, 2021
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 5
Article Number 271
DOI https://doi.org/10.1007/jhep05%282021%29271

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.




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