Probing non-toric geometry with rotating membranes Original Research Article

Recently Martelli and Sparks presented the first non-toric AdS4/CFT3 duality relation between M-theory on image and a class of three-dimensional image quiver Chern–Simons-matter theories. image is a seven-dimensional homogeneous Sasaki–Einstein manifold with isometry group image, which is in general broken to image by the orbifold projection if image. The dual field theory is described by the image quiver, image gauge group, four bifundamentals, two adjoint chiral multiplets interacting via a cubic superpotential. We explore this proposal by studying various classical membrane solutions moving in image. Rotating membrane solutions of folded, wrapped, spike, and giant magnon types are presented with their dispersion relations. We also discuss their dual operators in the Chern–Simons-matter theory.