Stabilizing all geometric moduli in heterotic Calabi-Yau vacua
Abstract
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 non-perturbative 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 non-perturbative 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 non-perturbative effects, where all remaining flat directions are stabilized in an AdS vacuum.
- Authors:
-
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Ludwig-Maximilians-Univ. Munchen, Munchen (Germany); Max-Planck-Institut fur Physik, Munchen (Germany)
- Oxford Univ., Oxford (United Kingdom)
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1201593
- Alternate Identifier(s):
- OSTI ID: 1099469
- Grant/Contract Number:
- FG02-95ER40893
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 10; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; geometric moduli
Citation Formats
Anderson, Lara B., Gray, James, Lukas, Andre, and Ovrut, Burt. Stabilizing all geometric moduli in heterotic Calabi-Yau vacua. United States: N. p., 2011.
Web. doi:10.1103/PhysRevD.83.106011.
Anderson, Lara B., Gray, James, Lukas, Andre, & Ovrut, Burt. Stabilizing all geometric moduli in heterotic Calabi-Yau vacua. United States. https://doi.org/10.1103/PhysRevD.83.106011
Anderson, Lara B., Gray, James, Lukas, Andre, and Ovrut, Burt. Fri .
"Stabilizing all geometric moduli in heterotic Calabi-Yau vacua". United States. https://doi.org/10.1103/PhysRevD.83.106011. https://www.osti.gov/servlets/purl/1201593.
@article{osti_1201593,
title = {Stabilizing all geometric moduli in heterotic Calabi-Yau vacua},
author = {Anderson, Lara B. and Gray, James and Lukas, Andre and Ovrut, Burt},
abstractNote = {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 non-perturbative 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 non-perturbative 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 non-perturbative effects, where all remaining flat directions are stabilized in an AdS vacuum.},
doi = {10.1103/PhysRevD.83.106011},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 10,
volume = 83,
place = {United States},
year = {Fri May 27 00:00:00 EDT 2011},
month = {Fri May 27 00:00:00 EDT 2011}
}
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