AdS/CFT with tri-Sasakian manifolds Original Research Article

We consider generic toric tri-Sasakian 7-manifolds image in the context of M-theory on image and study their AdS/CFT correspondence to image SCFT in 3D space–time. 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 image SCFT.