Supersymmetric AdS 5 solutions of type IIB supergravity

2005/10/17 by Jerome P. Gauntlett, Dario Martelli, James Sparks +1 · 11 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Cosmological constant #Cosmology and Gravitation Theories #Dilaton #Gauged supergravity #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Ode #Physics #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #Type (biology) #hep-th

paper · pdf · doi:10.1088/0264-9381/23/14/009

published as Class.Quant.Grav.23:4693-4718,2006 · 33 pages

arxiv created 2005/10/17 · openalex publication_date 2006/07/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space AdS₅ with a five-dimensional Riemannian manifold M₅. All fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. We show that the necessary and sufficient conditions can be phrased in terms of a local identity structure on M₅. For a special class, with constant dilaton and vanishing axion, we reduce the problem to solving a second order non-linear ODE. We find an exact solution of the ODE which reproduces a solution first found by Pilch and Warner. A numerical analysis of the ODE reveals an additional class of local solutions.

Citations

• New vacua of gauged supergravity in five dimensions
• A note on Einstein–Sasaki metrics in D ⩾ 7
• Superstrings with intrinsic torsion
• Near-horizon geometries of supersymmetric branes
• The Large-N Limit of Superconformal Field Theories and Supergravity
• The large N limit of superconformal field theories and supergravity
• Generalized Calabi-Yau Manifolds

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• Supersymmetric AdS5 solutions of type IIB supergravity without D3 branes
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• Generalised structures for N = 1 N=1 AdS backgrounds