G 4 flux, algebraic cycles and complex structure moduli stabilization

Braun, A.P.; Valandro, R.

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1249967
• Related Public URLs: https://arxiv.org/abs/2009.11873