skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [2];  [3];  [1]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Ludwig-Maximilians-Univ. Munchen, Munchen (Germany); Max-Planck-Institut fur Physik, Munchen (Germany)
  3. 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) (SC-25)
OSTI Identifier:
1201593
Alternate Identifier(s):
OSTI ID: 1099469
Grant/Contract Number:  
FG02-95ER40893
Resource Type:
Journal Article: 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. doi: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. doi: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},
issn = {1550-7998},
number = 10,
volume = 83,
place = {United States},
year = {2011},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 40 works
Citation information provided by
Web of Science

Save / Share: