Flux Compactification

Abstract

We review recent work in which compactifications of string and M theory are constructed in which all scalar fields (moduli) are massive, and supersymmetry is broken with a small positive cosmological constant, features needed to reproduce real world physics. We explain how this work implies that there is a ``landscape'' of string/M theory vacua, perhaps containing many candidates for describing real world physics, and present the arguments for and against this idea. We discuss statistical surveys of the landscape, and the prospects for testable consequences of this picture, such as observable effects of moduli, constraints on early cosmology, and predictions for the scale of supersymmetry breaking.

66 pages, 3 figures, Latex with revtex4 macros. v3: version to appear in RMP

References in corpus (2)

• On the Topology and Flux of T-Dual Manifolds
• On de Sitter Vacua in Type IIA Orientifold Compactifications

Cited by in corpus (104)

• Viscosity Bound and Causality Violation
• GUTs in Type IIB Orientifold Compactifications
• Les Houches Lectures on Constructing String Vacua
• The Measure Problem in Cosmology
• Inflationary Constraints on Type IIA String Theory
• Moduli Stabilisation versus Chirality for MSSM like Type IIB Orientifolds
• D-brane Deconstructions in IIB Orientifolds
• A Delicate Universe
• New Aspects of Heterotic--F Theory Duality
• Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
• Simple de Sitter Solutions
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• The $G_2$-MSSM - An $M$ Theory motivated model of Particle Physics
• Axion Inflation in Type II String Theory
• Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
• Predicting the Cosmological Constant from the Causal Entropic Principle
• Gauge Mediation in Metastable Vacua
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Phenomenology of D-Brane Inflation with General Speed of Sound
• Transport Properties of Holographic Defects
• Comparing Infrared Dirac-Born-Infeld Brane Inflation to Observations
• Lectures on Nongeometric Flux Compactifications
• Towards Realistic String Vacua From Branes At Singularities
• Where in the String Landscape is Quintessence
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Dark Energy, Inflation and Extra Dimensions
• Right-handed Neutrinos in F-theory Compactifications
• More about F-term uplifting
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Axion Inflation and Gravity Waves in String Theory
• Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications
• Warping and Supersymmetry Breaking
• Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
• The Volume of the Universe after Inflation and de Sitter Entropy
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• Inflation with a Negative Cosmological Constant
• Open String Wavefunctions in Warped Compactifications
• (No) Eternal Inflation and Precision Higgs Physics
• Landscape Predictions from Cosmological Vacuum Selection
• String instantons, fluxes and moduli stabilization
• Searching for Inflation in Simple String Theory Models: An Astrophysical Perspective
• Fixing D7 Brane Positions by F-Theory Fluxes
• Superstring-inspired supergravity as the universal source of inflation and quintessence
• Black holes and universality classes of critical points
• Type I singularities and the Phantom Menace
• Non-geometric flux vacua, S-duality and algebraic geometry
• On the Conformal Field Theory Duals of type IIA AdS_4 Flux Compactifications
• Mirror Mediation
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Graceful exit from a stringy landscape via MSSM inflation
• Evidence for a bound on the lifetime of de Sitter space
• Field dynamics and tunneling in a flux landscape
• Non-perturbative effective interactions from fluxes
• Metastable Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos Terms and Kähler Normal Coordinates
• The Physical Process First Law for Bifurcate Killing Horizons
• Probing the Geometry of Warped String Compactifications at the LHC
• Volume Weighted Measures of Eternal Inflation in the Bousso-Polchinski Landscape
• Moduli Stabilization in Meta-Stable Heterotic Supergravity Vacua
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Future Foam
• The scale of gravity and the cosmological constant within a landscape
• On Metastable Branes and a New Type of Magnetic Monopole
• DBI N-flation
• On general flux backgrounds with localized sources
• Oxidised cosmic acceleration
• Heterotic compactifications on SU(2)-structure backgrounds
• Scalar potential in F(R) supergravity
• General Relativity with small cosmological constant from spontaneous compactification of Lovelock theory in vacuum
• Index Theorems on Torsional Geometries
• Non-geometric fluxes as supergravity backgrounds
• Cascading to the MSSM
• No-scale supersymmetry breaking vacua and soft terms with torsion
• An obstacle to populating the string theory landscape
• Quark and Lepton Masses from Gaussian Landscapes
• Inflation on an Open Racetrack
• Building a Nest at Tree Level: Classical Metastability and Non-Trivial Vacuum Structure in Supersymmetric Field Theories
• Runaway in the Landscape
• N-ification of Forces: A Holographic Perspective on D-brane Model Building
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• Pseudo-redundant vacuum energy
• BPS and non BPS 7D Black Attractors in M-Theory on K3
• Gaugings at angles from orientifold reductions
• Twisting K3 x T^2 Orbifolds
• Brane Inflation and the Overshoot Problem
• Weak Gravity Conjecture for the Effective Field Theories with N Species
• Cosmology from String Theory
• Low energy effective theory on a regularized brane in six-dimensional flux compactifications
• On Gauge Mediated SUSY Breaking and Moduli Stabilization
• Type IIB Flux Vacua from M-theory via F-theory
• Axion Stabilization in Type IIB Flux Compactifications
• Flux Attractors and Generating Functions
• Matching WMAP 3-yrs results with the Cosmological Slingshot Primordial Spectrum
• Dynamics of Matter in a Compactified Kaluza-Klein Model
• Moduli Evolution in the Presence of Matter Fields and Flux Compactification
• Coisotropic D-branes on AdS4 x CP3 and massive deformations
• Phenomenology from the Landscape of String Vacua
• Landscape versus Swampland for Higher Derivative Gravity
• On special geometry of the moduli space of string vacua with fluxes
• Mediation of Supersymmetry Breaking in a Class of String Theory Models
• Non-minimally coupled multi-scalar black holes
• Our Place in a Vast Universe
• Type IIA/M-theory Moduli fixing in a Class of Orientifold Models
• Quark Masses: An Environmental Impact Statement
• Moduli Stabilization in Stringy ISS Models