N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures

Abstract

We consider backgrounds of (massive) IIA supergravity of the form of a warped product $M_{1,3}{\times }_{\omega }{X}_6$, where $X_6$ is a six-dimensional compact manifold and $M_{1,3}$ is $Ad{S}_4$ or a four-dimensional Minkowski space. We analyse conditions for $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry on manifolds of SU(2) structure. We prove the absence of solutions in certain cases.

arXiv comment24 pages; v2: reference added

References in corpus (26)

• Type IIA Moduli Stabilization
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Superstrings with Intrinsic Torsion
• The Geometry of D=11 Killing Spinors
• Generalized structures of N=1 vacua
• G-Structures and Wrapped NS5-Branes
• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• Superconformal Chern-Simons Theories
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• 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
• General N = 1 Supersymmetric Flux Vacua of (Massive) Type IIA String Theory
• Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
• General N = 1 Supersymmetric Fluxes in Massive Type IIA String Theory
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Generalised $G_2$-structures and type IIB superstrings
• Moduli Potentials in Type IIA Compactifications with RR and NS Flux
• N=1 geometries for M-theory and type IIA strings with fluxes
• Type II Strings and Generalized Calabi-Yau Manifolds
• On BPS preons, generalized holonomies and D=11 supergravities
• A note on simple applications of the Killing Spinor Identities
• The supermembrane revisited
• Generalized Calabi-Yau structures and mirror symmetry
• Generalized curvature and the equations of D=11 supergravity
• Classifying Supergravity Solutions

Cited by in corpus (30)

• Flux Compactification
• On non-abelian T-dual geometries with Ramond fluxes
• Lectures on Generalized Complex Geometry for Physicists
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds
• Challenges for String Cosmology
• A consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure
• Classes of AdS4 type IIA/IIB compactifications with SU(3)xSU(3) structure
• Classification of Supersymmetric Flux Vacua in M Theory
• AdS${}_{\text{2}}$ solutions and their massive IIA origin
• Rigid 6D supersymmetry and localization
• Generalized geometry, calibrations and supersymmetry in diverse dimensions
• Flux compactification on smooth, compact three-dimensional toric varieties
• Heterotic domain wall solutions and SU(3) structure manifolds
• Heterotic compactifications on SU(2)-structure backgrounds
• Enhanced Symmetries in Multiparameter Flux Vacua
• A massive class of $\mathcal{N}=2$ AdS${}_4$ IIA solutions
• Aspects of D-brane Dynamics in Supergravity Backgrounds with Fluxes, Kappa-symmetry and Equations of Motion. Part IIB
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• A landscape of non-supersymmetric AdS vacua on coset manifolds
• The N=4 effective action of type IIA supergravity compactified on SU(2)-structure manifolds
• Enhanced supersymmetry from vanishing Euler number
• Leaps and bounds towards scale separation
• Type IIA orientifold compactification on SU(2)-structure manifolds
• Branes and massive IIA duals of 3d CFT's
• Mink${}_3\times S^3$ solutions of type II supergravity
• Partial Supergravity Breaking and the Effective Action of Consistent Truncations
• A note on the Ricci scalar of six dimensional manifold with SU(2) structure
• A class of Calabi-Yau threefolds as manifolds of SU(2) structure
• Generalized Geometry and Partial Supersymmetry Breaking