Stabilizing all geometric moduli in heterotic Calabi-Yau vacua

Anderson, Lara B.; Gray, James; Lukas, Andre; Ovrut, Burt

doi:10.1103/PhysRevD.83.106011

Stabilizing all geometric moduli in heterotic Calabi-Yau vacua

Journal Article · Fri May 27 00:00:00 EDT 2011 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.83.106011· OSTI ID:1201593

Anderson, Lara B. ^[1]; Gray, James ^[2]; Lukas, Andre ^[3]; Ovrut, Burt ^[4]

Univ. of Pennsylvania, Philadelphia, PA (United States); University of Pennsylvania
Ludwig-Maximilians-Univ. Munchen, Munchen (Germany); Max-Planck-Institut fur Physik, Munchen (Germany)
Oxford Univ., Oxford (United Kingdom)
Univ. of Pennsylvania, Philadelphia, PA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: FG02-95ER40893

OSTI ID:: 1201593

Alternate ID(s):: OSTI ID: 21502662
OSTI ID: 1099469

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 10 Vol. 83; ISSN PRVDAQ; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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