Squashing gravity dual of N = 6 superconformal Chern-Simons gauge theory

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 N= 1 (or N = 0) 50(5) × U(1)-invariant UV fixed point to N = 6 (or N = 0) 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.