G 4 flux, algebraic cycles and complex structure moduli stabilization

G 4 flux, algebraic cycles and complex structure moduli stabilization

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...

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Main Authors: A. P. Braun, R. Valandro
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of High Energy Physics
Subjects:
Flux compactifications
M-Theory
F-Theory
Online Access:https://doi.org/10.1007/JHEP01(2021)207
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spelling doaj-603c52ffc5ad474aa909471d39712b8a2021-01-31T12:13:22ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113410.1007/JHEP01(2021)207G 4 flux, algebraic cycles and complex structure moduli stabilizationA. P. Braun0R. Valandro1Department of Mathematical Sciences, Durham University, Lower MountjoyDipartimento di Fisica, Università di TriesteAbstract 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.https://doi.org/10.1007/JHEP01(2021)207Flux compactificationsM-TheoryF-Theory
collection DOAJ
language English
format Article
sources DOAJ
author A. P. Braun
R. Valandro
spellingShingle A. P. Braun
R. Valandro
G 4 flux, algebraic cycles and complex structure moduli stabilization
Journal of High Energy Physics
Flux compactifications
M-Theory
F-Theory
author_facet A. P. Braun
R. Valandro
author_sort A. P. Braun
title G 4 flux, algebraic cycles and complex structure moduli stabilization
title_short G 4 flux, algebraic cycles and complex structure moduli stabilization
title_full G 4 flux, algebraic cycles and complex structure moduli stabilization
title_fullStr G 4 flux, algebraic cycles and complex structure moduli stabilization
title_full_unstemmed G 4 flux, algebraic cycles and complex structure moduli stabilization
title_sort g 4 flux, algebraic cycles and complex structure moduli stabilization
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-01-01
description 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.
topic Flux compactifications
M-Theory
F-Theory
url https://doi.org/10.1007/JHEP01(2021)207
work_keys_str_mv AT apbraun g4fluxalgebraiccyclesandcomplexstructuremodulistabilization
AT rvalandro g4fluxalgebraiccyclesandcomplexstructuremodulistabilization
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