2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194857We consider generic toric Tri-Sasakian 7-manifolds X_7 in the context of M-theory on AdS_4 X X_7 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.32 pages, LaTeX, no figure, v2:references addedHigh Energy Physics - TheoryAdS/CFT with Tri-Sasakian Manifoldstext