Nearly Kaehler Reduction

Abstract

We consider compactification of type IIA supergravity on nearly Kaehler manifolds. These represent a simple class of SU(3) structure manifolds which includes S^6 and CP^3. We exhibit for the first time an explicit reduction ansatz in this context, obtaining an N=2 gauged supergravity in 4d with a single vector and hypermultiplet. We verify that supersymmetric solutions of the 4d theory lift to 10d solutions. Along the way, we discuss questions related to encountering both electric and magnetic charges in the 4d theory.

26 pages; v2: references added

References in corpus (34)

• 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
• Generalized structures of N=1 vacua
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• A scan for new N=1 vacua on twisted tori
• Supersymmetric AdS(4) compactifications of IIA supergravity
• 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
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• From ten to four and back again: how to generalize the geometry
• On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds
• Magnetic charges in local field theory
• General N = 1 Supersymmetric Flux Vacua of (Massive) Type IIA String Theory
• General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory
• D=4, N=2 Gauged Supergravity in the Presence of Tensor Multiplets
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• Moduli Potentials in Type IIA Compactifications with RR and NS Flux
• Towards Minkowski Vacua in Type II String Compactifications
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Type IIB Theory on Half-flat Manifolds
• Gauging the Heisenberg algebra of special quaternionic manifolds
• N=2 Supergravity Lagrangian Coupled to Tensor Multiplets with Electric and Magnetic Fluxes
• M-theory Compactifications on Manifolds with G2 Structure
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• N=2 Supersymmetric Scalar-Tensor Couplings
• Almost Hermitian 6-Manifolds Revisited
• Towards reduction of type II theories on SU(3) structure manifolds
• Heterotic compactifications and nearly-Kahler manifolds
• Heterotic-type IIA duality with fluxes
• N=1 domain wall solutions of massive type II supergravity as generalized geometries

Cited by in corpus (51)

• Lectures on Generalized Complex Geometry for Physicists
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• De Sitter hunting in a classical landscape
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Exploiting N=2 in consistent coset reductions of type IIA
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• Non-Abelian T-duality and consistent truncations in type-II supergravity
• BPS Black Holes in AdS4 from M-theory
• New string vacua from twistor spaces
• On moduli and effective theory of N=1 warped flux compactifications
• Non-Relativistic Solutions of N=2 Gauged Supergravity
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• Systematics of consistent truncations from generalised geometry
• de Sitter extrema and the swampland
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Tri-Sasakian consistent reduction
• Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type II String Theory
• D-branes on AdS flux compactifications
• A Global View on The Search for de-Sitter Vacua in (type IIA) String Theory
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory
• Reducing the Heterotic Supergravity on nearly-Kahler coset spaces
• Open string wavefunctions in flux compactifications
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• A special road to AdS vacua
• Domain walls from ten dimensions
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly Kaehler and nearly Calabi-Yau twistor 6-manifolds
• Romans-mass-driven flows on the D2-brane
• Laplacian spectrum on a nilmanifold, truncations and effective theories
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Dimensional Reduction and Vacuum Structure of Quiver Gauge Theory
• Consistent reductions from D=11 beyond Sasaki-Einstein
• Flux Vacua Attractors and Generalized Compactifications
• Three-dimensional super Yang-Mills with compressible quark matter
• Pure spinor equations to lift gauged supergravity
• On N = 2 Truncations of IIB on T^{1,1}
• Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
• Type IIA orientifold compactification on SU(2)-structure manifolds
• Domain wall flow equations and SU(3)xSU(3) structure compactifications
• Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
• Heterotic Flux Attractors
• Gauged supergravities from M-theory reductions
• Generalized Geometry and Partial Supersymmetry Breaking
• Consistent truncations with massive modes and holography
• Nearly-Kaehler dimensional reduction of the heterotic string