Flux compactification on smooth, compact three-dimensional toric varieties
arXiv:1005.2194 · doi:10.1007/JHEP07(2010)073
Abstract
Three-dimensional smooth, compact toric varieties (SCTV), when viewed as real six-dimensional manifolds, can admit G-structures rendering them suitable for internal manifolds in supersymmetric flux compactifications. We develop techniques which allow us to systematically construct G-structures on SCTV and read off their torsion classes. We illustrate our methods with explicit examples, one of which consists of an infinite class of toric CP^1 bundles. We give a self-contained review of the relevant concepts from toric geometry, in particular the subject of the classification of SCTV in dimensions less or equal to 3. Our results open up the possibility for a systematic construction and study of supersymmetric flux vacua based on SCTV.
27 pages, 10 figures; v2: references, minor typos & improvements
References in corpus (9)
- Les Houches Lectures on Constructing String Vacua
- Generalized non-supersymmetric flux vacua
- On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
- On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
- Type IIA AdS4 compactifications on cosets, interpolations and domain walls
- New supersymmetric AdS4 type II vacua
- New string vacua from twistor spaces
- Perturbing gauge/gravity duals by a Romans mass
- Classes of AdS4 type IIA/IIB compactifications with SU(3)xSU(3) structure
Cited by in corpus (18)
- Lectures on Generalized Complex Geometry for Physicists
- De Sitter hunting in a classical landscape
- AdS vacua with scale separation from IIB supergravity
- Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity
- Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory
- Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds
- Type IIB flux vacua from G-theory II
- Heterotic domain wall solutions and SU(3) structure manifolds
- Type IIB flux vacua from G-theory I
- Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
- Compact G2 holonomy spaces from SU(3) structures
- Revisiting toric SU(3) structures
- Calabi-Yau Manifolds and SU(3) Structure
- Holomorphic Couplings In Non-Perturbative String Compactifications
- Toric manifolds for Flux compactification
- Meromorphic Flux Compactification
- Generalized Compactification in Heterotic String Theory
- SU(3) structures on S2 bundles over four-manifolds