Stabilizing all geometric moduli in heterotic Calabi-Yau vacua
We propose a scenario to stabilize all geometric moduli-that is, the complex structure, Kähler moduli, and the dilaton-in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the gauge bundle required in any heterotic compactification, whose...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1797085973625962496 |
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| author | Anderson, L Gray, J Lukas, A Ovrut, B |
| author_facet | Anderson, L Gray, J Lukas, A Ovrut, B |
| author_sort | Anderson, L |
| collection | OXFORD |
| description | We propose a scenario to stabilize all geometric moduli-that is, the complex structure, Kähler moduli, and the dilaton-in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the gauge bundle required in any heterotic compactification, whose perturbative effects on the moduli are combined with nonperturbative corrections. We argue that, for appropriate gauge bundles, all complex structure and a large number of other moduli can be perturbatively stabilized-in the most restrictive case, leaving only one combination of Kähler moduli and the dilaton as a flat direction. At this stage, the remaining moduli space consists of Minkowski vacua. That is, the perturbative superpotential vanishes in the vacuum without the necessity to fine-tune flux. Finally, we incorporate nonperturbative effects such as gaugino condensation and/or instantons. These are strongly constrained by the anomalous U(1) symmetries, which arise from the required bundle constructions. We present a specific example, with a consistent choice of nonperturbative effects, where all remaining flat directions are stabilized in an anti-de Sitter vacuum. © 2011 American Physical Society. |
| first_indexed | 2024-03-07T02:15:23Z |
| format | Journal article |
| id | oxford-uuid:a20d9295-990f-47ef-85a1-23482d8b877c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:15:23Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:a20d9295-990f-47ef-85a1-23482d8b877c2022-03-27T02:17:33ZStabilizing all geometric moduli in heterotic Calabi-Yau vacuaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a20d9295-990f-47ef-85a1-23482d8b877cEnglishSymplectic Elements at Oxford2011Anderson, LGray, JLukas, AOvrut, BWe propose a scenario to stabilize all geometric moduli-that is, the complex structure, Kähler moduli, and the dilaton-in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the gauge bundle required in any heterotic compactification, whose perturbative effects on the moduli are combined with nonperturbative corrections. We argue that, for appropriate gauge bundles, all complex structure and a large number of other moduli can be perturbatively stabilized-in the most restrictive case, leaving only one combination of Kähler moduli and the dilaton as a flat direction. At this stage, the remaining moduli space consists of Minkowski vacua. That is, the perturbative superpotential vanishes in the vacuum without the necessity to fine-tune flux. Finally, we incorporate nonperturbative effects such as gaugino condensation and/or instantons. These are strongly constrained by the anomalous U(1) symmetries, which arise from the required bundle constructions. We present a specific example, with a consistent choice of nonperturbative effects, where all remaining flat directions are stabilized in an anti-de Sitter vacuum. © 2011 American Physical Society. |
| spellingShingle | Anderson, L Gray, J Lukas, A Ovrut, B Stabilizing all geometric moduli in heterotic Calabi-Yau vacua |
| title | Stabilizing all geometric moduli in heterotic Calabi-Yau vacua |
| title_full | Stabilizing all geometric moduli in heterotic Calabi-Yau vacua |
| title_fullStr | Stabilizing all geometric moduli in heterotic Calabi-Yau vacua |
| title_full_unstemmed | Stabilizing all geometric moduli in heterotic Calabi-Yau vacua |
| title_short | Stabilizing all geometric moduli in heterotic Calabi-Yau vacua |
| title_sort | stabilizing all geometric moduli in heterotic calabi yau vacua |
| work_keys_str_mv | AT andersonl stabilizingallgeometricmoduliinheteroticcalabiyauvacua AT grayj stabilizingallgeometricmoduliinheteroticcalabiyauvacua AT lukasa stabilizingallgeometricmoduliinheteroticcalabiyauvacua AT ovrutb stabilizingallgeometricmoduliinheteroticcalabiyauvacua |