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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)207 |
| _version_ | 1818915529334718464 |
|---|---|
| author | A. P. Braun R. Valandro |
| author_facet | A. P. Braun R. Valandro |
| author_sort | A. P. Braun |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-20T00:03:44Z |
| format | Article |
| id | doaj.art-603c52ffc5ad474aa909471d39712b8a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T00:03:44Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-603c52ffc5ad474aa909471d39712b8a2022-12-21T20:00:44ZengSpringerOpenJournal 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 |
| 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 |
| title | 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_short | G 4 flux, algebraic cycles and complex structure moduli stabilization |
| title_sort | g 4 flux algebraic cycles and complex structure moduli stabilization |
| 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 |