Notes on toric Sasaki-Einstein seven-manifolds and AdS4/CFT3

2008/08/31 by Dario Martelli, James Sparks · 98 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Einstein #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical physics #Mathematics #Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/11/016

published in Journal of High Energy Physics 2008(11), 016 (Springer Nature) · 31 pages, 6 toric figures; v2: minor changes

arxiv created 2008/09/16 · openalex publication_date 2008/11/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the geometry and topology of two infinite families Y^p,k of Sasaki-Einstein seven-manifolds, that are expected to be AdS₄/CFT₃ dual to families of N=2 superconformal field theories in three dimensions. These manifolds, labelled by two positive integers p and k, are Lens space bundles S³/Z_p over CP² and CP¹ x CP¹, respectively. The corresponding Calabi-Yau cones are toric. We present their toric diagrams and gauged linear sigma model charges in terms of p and k, and find that the Y^p,k manifolds interpolate between certain orbifolds of the homogeneous spaces S⁷, M^3,2 and Q^1,1,1.

Citations

• Geodesic flows and contact toric manifolds
• Symmetry-breaking vacua and baryon condensates in AdS/CFT correspondence
• Estudo de processos de separação por membranas para produção de suco de laranja pasteurizado
• Differential Forms in Algebraic Topology
• Gauge/gravity duality and warped resolved conifold
• D-branes, Quivers, and ALE Instantons
• Gauge symmetry and supersymmetry of multiple M2-branes
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The large N limit of superconformal field theories and supergravity

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