3-Sasakian Manifolds

Abstract

This is an expository paper describing the geometry of certain Sasakian-Einstein manifolds. Such manifolds have recently become of interest due to Maldacena's AdS/CFT conjecture. They describe near-horizon geometries of branes at conical singularities.

59 pages, to appear in Essays on Einstein Manifolds, M. Wang and C. LeBrun, eds

References in corpus (2)

• Near-horizon geometries of supersymmetric branes
• A Finiteness Theorem for Quaternionic-Kaehler Manifolds with Positive Scalar Curvature

Cited by in corpus (23)

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• A Note on Toric Contact Geometry
• Instantons and Killing spinors
• A New Infinite Class of Sasaki-Einstein Manifolds
• Baryonic symmetries and M5 branes in the AdS_4/CFT_3 correspondence
• 3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem
• 7D supersymmetric Yang-Mills on curved manifolds
• Special Killing forms on toric Sasaki-Einstein manifolds
• Conification construction for Kaehler manifolds and its application in c-projective geometry
• Non-toric Cones and Chern-Simons Quivers
• Contact spheres and hyperkähler geometry
• Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
• Superconformal hypermultiplets in superspace
• Sasaki-Einstein 5-manifolds associated to toric 3-Sasaki manifolds
• Symmetries of the Rolling Model
• A special class of symmetric Killing 2-tensors
• Flux Backgrounds and Exceptional Generalised Geometry
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• On the holonomy of connections with skew-symmetric torsion
• Instantons and Quaternions
• Foliations with Transversal Quaternionic Structures
• Toric data and Killing forms on homogeneous Sasaki-Einstein manifold $T^{1,1}$