Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications

Abstract

We consider compactifications of type II string theory on general SU(3) x SU(3) structure backgrounds allowing for a very large set of fluxes, possibly nongeometric ones. We study the effective 4d low energy theory which is a gauged N=2 supergravity, and discuss how its data are obtained from the formalism of the generalized geometry on T+T*. In particular we relate Hitchin's special Kaehler metrics on the spaces of even and odd pure spinors to the metric on the supergravity moduli space of internal metric and B-field fluctuations. We derive the N=1 vacuum conditions from this N=2 effective action, as well as from its N=1 truncation. We prove a direct correspondence between these conditions and an integrated version of the pure spinor equations characterizing the N=1 backgrounds at the ten dimensional level.

54 pages. v2, v3: minor changes

References in corpus (57)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Flux compactifications in string theory: a comprehensive review
• A Geometry for Non-Geometric String Backgrounds
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• New Vacua for Type II String Theory
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• Nongeometric Flux Compactifications
• Generalized structures of N=1 vacua
• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• The effective action of Type IIA Calabi-Yau orientifolds
• Scales and hierarchies in warped compactifications and brane worlds
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• A scan for new N=1 vacua on twisted tori
• Dynamics of warped compactifications and the shape of the warped landscape
• Supersymmetric AdS(4) compactifications of IIA supergravity
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Hitchin Functionals in N=2 Supergravity
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Compactifications of Type IIB Strings to Four Dimensions with Non-trivial Classical Potential
• Special Kahler Manifolds
• The geometry of three-forms in six and seven dimensions
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Generalized Flux Vacua
• Magnetic charges in local field theory
• Supersymmetric sources, integrability and generalized-structure compactifications
• Minimal Higgs Branch for the Breaking of Half of the Supersymmetries in N=2 Supergravity
• General Matter Coupled N=2 Supergravity
• What is Special Kähler Geometry ?
• Leptogenesis and tensor polarisation from a gravitational Chern-Simons term
• D=4, N=2 Gauged Supergravity in the Presence of Tensor Multiplets
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Generalised $G_2$-structures and type IIB superstrings
• Towards Minkowski Vacua in Type II String Compactifications
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• The effective action of type II Calabi-Yau orientifolds
• Type IIB Theory on Half-flat Manifolds
• Gauging the Heisenberg algebra of special quaternionic manifolds
• Supersymmetry reduction of N-extended supergravities in four dimensions
• Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter
• N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes
• Topological mirror symmetry with fluxes
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• On Potentials from Fluxes
• Generalized geometry and the Hodge decomposition
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• Special metric structures and closed forms
• Towards reduction of type II theories on SU(3) structure manifolds
• NS-NS fluxes in Hitchin's generalized geometry
• Calabi-Yau Compactification of Type-IIB string and a Mass Formula of the Extreme Black Holes
• Atmospheric Gravity Perturbations Measured by Ground-Based Interferometer with Suspended Mirrors
• Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory
• Brane Worlds in 5D and Warped Compactifications in IIB
• N=1 reductions of N=2 supergravity in the presence of tensor multiplets

Cited by in corpus (48)

• M-theory, exceptional generalised geometry and superpotentials
• Lectures on Generalized Complex Geometry for Physicists
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Exploiting N=2 in consistent coset reductions of type IIA
• Non-geometric backgrounds in string theory
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• New string vacua from twistor spaces
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• E7(7) formulation of N=2 backgrounds
• Nearly Kaehler Reduction
• Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type II String Theory
• D-branes on AdS flux compactifications
• The Leading Quantum Corrections to Stringy Kahler Potentials
• New supersymmetric flux vacua with intermediate SU(2) structure
• Kähler moduli stabilization from ten dimensions
• N=1 vacua in Exceptional Generalized Geometry
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• A special road to AdS vacua
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• Supersymmetric Vacua in N=2 Supergravity
• Domain walls from ten dimensions
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• N=2 vacua in Generalized Geometry
• Flux Vacua Attractors and Generalized Compactifications
• Heterotic Quantum Cohomology
• Warped generalized geometry compactifications, effective theories and non-perturbative effects
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• Pure spinor equations to lift gauged supergravity
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• Domain wall flow equations and SU(3)xSU(3) structure compactifications
• Smearing and Unsmearing KKLT AdS Vacua
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Partial SUSY Breaking for Asymmetric Gepner Models and Non-geometric Flux Vacua
• Quantum Corrections in String Compactifications on SU(3) Structure Geometries
• Flux Vacua Attractors in Type II on SU(3)xSU(3) Structure
• Phenomenology from the Landscape of String Vacua
• Heterotic Flux Attractors
• Hypermoduli Stabilization, Flux Attractors, and Generating Functions
• Generalized Geometry and Partial Supersymmetry Breaking
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$