Vacuum Varieties, Holomorphic Bundles and Complex Structure Stabilization in Heterotic Theories
arXiv:1304.2704
Abstract
We discuss the use of gauge fields to stabilize complex structure moduli in Calabi-Yau three-fold compactifications of heterotic string and M-theory. The requirement that the gauge fields in such models preserve supersymmetry leads to a complicated landscape of vacua in complex structure moduli space. We develop methods to systematically map out this multi-branched vacuum space, in a computable and explicit manner. In analyzing the resulting vacua, it is found that the associated Calabi-Yau three-folds are sometimes stabilized at a value of complex structure resulting in a singular compactification manifold. We describe how it is possible to resolve these singularities, in some cases, while maintaining computational control over the moduli stabilization mechanism. The discussion is illustrated throughout the paper with explicit worked examples.
49 pages, 1 figure
References in corpus (38)
- Massless Black Holes and Conifolds in String Theory
- The Universe as a Domain Wall
- A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
- An SU(5) Heterotic Standard Model
- Supersymmetric Standard Model from the Heterotic String
- A Heterotic Standard Model
- Heterotic Line Bundle Standard Models
- The Heterotic Road to the MSSM with R parity
- Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
- Exploring Positive Monad Bundles And A New Heterotic Standard Model
- Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
- A Standard Model from the E8 x E8 Heterotic Superstring
- Heterotic Compactification, An Algorithmic Approach
- A Z2xZ2 standard model
- Higgs Bundles and UV Completion in F-Theory
- Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
- New Calabi-Yau Manifolds with Small Hodge Numbers
- The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
- Stability Walls in Heterotic Theories
- STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology
- Exophobic Quasi-Realistic Heterotic String Vacua
- Heterotic MSSM on a Resolved Orbifold
- String-derived MSSM vacua with residual R symmetries
- Yukawa Couplings in Heterotic Standard Models
- The Edge Of Supersymmetry: Stability Walls in Heterotic Theory
- Heterotic Z6-II MSSM Orbifolds in Blowup
- Moduli Dependent Spectra of Heterotic Compactifications
- Top Quark Mass in Exophobic Pati--Salam Heterotic String Model
- Yukawa Textures From Heterotic Stability Walls
- Moduli Dependent mu-Terms in a Heterotic Standard Model
- Hyperconifold Transitions, Mirror Symmetry, and String Theory
- Asymmetric Gepner Models II. Heterotic Weight Lifting
- Investigation of Quasi--Realistic Heterotic String Models with Reduced Higgs Spectrum
- Heterotic and M-theory Compactifications for String Phenomenology
- Heterotic Weight Lifting
- Permutation orbifolds of heterotic Gepner models
- Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions
- Heterotic Mini-landscape in blow-up