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Title: 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 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:
OSTI Identifier:
1201593
Grant/Contract Number:
FG02-95ER40893
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)
Research Org:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS geometric moduli