Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3

Details Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3 Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3

2008-08-06

arxiv.org/abs/0808.0904v2

JHEP 0811:016,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 6 toric figures; v2: minor changes

Scientific paper

10.1088/1126-6708/2008/11/016

We study the geometry and topology of two infinite families Y^{p,k} of Sasaki-Einstein seven-manifolds, that are expected to be AdS_4/CFT_3 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 S^3/Z_p over CP^2 and CP^1 x CP^1, 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 S^7, M^{3,2} and Q^{1,1,1}.

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