Flux Vacua Attractors and Generalized Compactifications

Abstract

We investigate whether there are attractor equations for N=1 flux vacua in generalized compactifications. We fill a gap in the existing literature by verifying analytically that the recently proposed susy attractors, for type IIB CY(3) orientifold compactifications with flux, do give supersymmetric minima of the relevant scalar potential. Furthermore, our considerations clarify various confusions about existing proposals for generalization of the flux vacua attractors to non-Kähler compactifications. We explore different possibilities for generalization and find attractor equations for N=1 Minkowski vacua only both for the heterotic string on SU(3) structure manifolds and for type IIA/B on SU(3)xSU(3) structure spaces.

39 pages; small improvements and clarifications, references added, journal version

References in corpus (40)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• N=2 Extremal Black Holes
• M Theory, Orientifolds and G-Flux
• Flux compactifications in string theory: a comprehensive review
• Supersymmetry and Attractors
• A Geometry for Non-Geometric String Backgrounds
• Distributions of flux vacua
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
• Nongeometric Flux Compactifications
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Generalized structures of N=1 vacua
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes
• Loop Corrections to Volume Moduli and Inflation in String Theory
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Hitchin Functionals in N=2 Supergravity
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• From ten to four and back again: how to generalize the geometry
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• New Attractors
• Generalized Flux Vacua
• Heterotic on Half-flat
• New Attractors and Area Codes
• Moduli Stabilization in Non-Geometric Backgrounds
• Properties Of Heterotic Vacua From Superpotentials
• Towards Minkowski Vacua in Type II String Compactifications
• Moduli Stabilisation in Heterotic String Compactifications
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Generalised $G_2$-manifolds
• AdS Strings with Torsion: Non-complex Heterotic Compactifications
• Nearly Kaehler Reduction
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• NS-NS fluxes in Hitchin's generalized geometry
• Heterotic-type IIA duality with fluxes
• Non-Kaehler attracting manifolds
• Non-Abelian structures in compactifications of M-theory on seven-manifolds with SU(3) structure

Cited by in corpus (11)

• Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type II String Theory
• A special road to AdS vacua
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Extremal Black Brane Attractors on The Elliptic Curve
• Extremal Black Attractors in 8D Maximal Supergravity
• Flux Vacua Attractors in Type II on SU(3)xSU(3) Structure
• On Black Attractors in 8D and Heterotic/Type IIA Duality
• Heterotic Flux Attractors
• Intersecting Black Attractors in 8D N=1 Supergravity
• Hypermoduli Stabilization, Flux Attractors, and Generating Functions