Supersymmetric AdS(4) compactifications of IIA supergravity

2004/12/31 by Dieter Lüst, D. Lust, Dimitrios Tsimpis +1 · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry and complex manifolds #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/02/027

published as JHEP 0502:027,2005 · 24 pages, references added

arxiv created 2005/01/25 · openalex publication_date 2005/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive necessary and sufficient conditions for N=1 compactifications of (massive) IIA supergravity to AdS(4) in the language of SU(3) structures. We find new solutions characterized by constant dilaton and nonzero fluxes for all form fields. All fluxes are given in terms of the geometrical data of the internal compact space. The latter is constrained to belong to a special class of half-flat manifolds.

Citations

• GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
• Scales and hierarchies in warped compactifications and brane worlds
• Non-Kähler string backgrounds and their five torsion classes
• Almost Hermitian Geometry on Six Dimensional Nilmanifolds
• K3 Surfaces and String Duality

Cited by

• M-theory on eight-manifolds revisited: Script N = 1 supersymmetry and generalized Spin(7) structures
• IIA moduli stabilization with badly broken supersymmetry
• Enhanced symmetries in multiparameter flux vacua
• Script N = 1,2 supersymmetric vacua of IIA supergravity and SU(2) structures
• D terms from D-branes, gauge invariance and moduli stabilization in flux compactifications
• M-theory on seven-dimensional manifolds with SU(3) structure
• Type-IIA flux compactifications and 𝒩 = 4 gauged supergravities