On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure

2010/07/31 by Anna Fino, Luis Ugarte · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Flux (metallurgy) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical physics #Mathematics #Physics #Pure mathematics #Supersymmetry #Symplectic geometry #Type (biology) #hep-th #math.DG #msc:53C25 #msc:53C80 #msc:81T30

paper · pdf · open access · doi:10.1088/0264-9381/28/7/075004

published in Classical and Quantum Gravity 28(7), 075004 (IOP Publishing) · 21 pages; to be published in Classical Quantum Gravity

arxiv created 2011/02/07 · openalex publication_date 2011/02/28 · arxiv updated 2011/03/03 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

We show that supersymmetric flux vacua with constant intermediate SU(2) structure are closely related to some special classes of half-flat structures. More concretely, solutions of the SUSY equations IIA possess a symplectic half-flat structure, whereas solutions of the SUSY equations IIB admit a half-flat structure which is in a certain sense near to the balanced condition. Using this result we show that compact simply connected manifolds do not admit type IIB solutions. New solutions of the SUSY equations IIA and IIB are constructed from hyperkähler 4-manifolds, special hypo 5-manifolds and six-dimensional solvmanifolds.

Citations

• On the de Rham cohomology of solvmanifolds
• A Pseudo-Kähler Structure on a Nontoral Compact Complex Parallelizable Solvmanifold
• Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold
• -structures with torsion from half-integrable nilmanifolds
• Generalized Kähler Potentials from Supergravity
• Gravity duals to deformed SYM theories and generalized complex geometry
• Multi-spin string solutions in magnetic-flux deformedAdSn×Smspacetime
• Generalized Complex Geometry
• Einstein Manifolds
• Generalized Calabi-Yau Manifolds