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G 4 flux, algebraic cycles and complex structure moduli stabilization

Braun, A.P.; Valandro, R.

G 4 flux, algebraic cycles and complex structure moduli stabilization Thumbnail


Authors

R. Valandro



Abstract

We construct G4 fluxes that stabilize all of the 426 complex structure moduli of the sextic Calabi-Yau fourfold at the Fermat point. Studying flux stabilization usually requires solving Picard-Fuchs equations, which becomes unfeasible for models with many moduli. Here, we instead start by considering a specific point in the complex structure moduli space, and look for a flux that fixes us there. We show how to construct such fluxes by using algebraic cycles and analyze flat directions. This is discussed in detail for the sextic Calabi-Yau fourfold at the Fermat point, and we observe that there appears to be tension between M2-tadpole cancellation and the requirement of stabilizing all moduli. Finally, we apply our results to show that even though symmetric fluxes allow to automatically solve several F-term equations, they typically lead to flat directions.

Citation

Braun, A., & Valandro, R. (2021). G 4 flux, algebraic cycles and complex structure moduli stabilization. Journal of High Energy Physics, 2021(1), Article 207. https://doi.org/10.1007/jhep01%282021%29207

Journal Article Type Article
Acceptance Date Dec 6, 2020
Online Publication Date Jan 29, 2021
Publication Date 2021
Deposit Date Apr 12, 2021
Publicly Available Date Apr 12, 2021
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 1
Article Number 207
DOI https://doi.org/10.1007/jhep01%282021%29207
Related Public URLs https://arxiv.org/abs/2009.11873

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Published Journal Article (519 Kb)
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
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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