G 4 flux, algebraic cycles and complex structure moduli stabilization
Open Access
- 29 January 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of High Energy Physics
- Vol. 2021 (1), 1-34
- https://doi.org/10.1007/jhep01(2021)207
Abstract
We construct G 4 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.Keywords
This publication has 35 references indexed in Scilit:
- Statistics of F-theory flux vacua for particle physicsJournal of High Energy Physics, 2015
- The vertical, the horizontal and the rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applicationsJournal of High Energy Physics, 2015
- Distribution of the number of generations in flux compactificationsPhysical Review D, 2014
- The Noether-Lefschetz problem and gauge-group-resolved landscapes: F-theory on K3 × K3 as a test caseJournal of High Energy Physics, 2014
- G-flux in F-theory and algebraic cyclesNuclear Physics B, 2012
- Fixing D7-brane positions by F-theory fluxesNuclear Physics B, 2009
- Fixing all moduli for M-theory on K3 × K3Journal of High Energy Physics, 2005
- M-theory, orientifolds and G-fluxJournal of High Energy Physics, 1999
- On flux quantization in M-theory and the effective actionJournal of Geometry and Physics, 1997
- M-theory on eight-manifoldsNuclear Physics B, 1996