Abstract
Four-dimensional field equations are determined for perturbations of the quotient 7-sphere size and squashing parameter in 11-dimensional supergravity. The quotient 7-sphere is an S1-bundle over the CP3 which is regarded as an S2-fibration over the base S4. By analyzing the AdS 4 supergravity scalar potential, the holographic supersymmetric (or nonsupersymmetric) renormalization group (RG) flow from (or ) SO(5) × U(1)-invariant UV fixed point to (or ) SU(4)R × U(1)-invariant IR fixed point is obtained. The three-dimensional boundary theories are described by superconformal Chern–Simons matter theories and a dual operator corresponding to this RG flow is described.
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