AdS/CFT with Tri-Sasakian Manifolds
Abstract
We consider generic toric Tri-Sasakian 7-manifolds X7 in the context of M-theory on AdS4 X X7 and study their AdS/CFT correspondence to N=3 SCFT in 3D spacetime. We obtain volumes of Tri-Sasakian manifolds and their supersymmetric 5-cycles via cohomological integration technique, and use this to calculate conformal dimensions of baryonic operators in the SCFT side. We also propose quiver-type gauge theories for UV description of the corresponding N=3 SCFT.
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