N=8 GAUGED SUPERGRAVITY THEORY AND N=6 SUPERCONFORMAL CHERN-SIMONS MATTER THEORY

By studying the previously known holographic N = 4 supersymmetric renormalization group flow (Gowdigere-Warner) in four dimensions, we find the mass deformed Chern-Simons matter theory which has N = 4 supersymmetry by adding the four mass terms among eight adjoint fields. The geometric superpotential from the 11 dimensions is found and provides the M2-brane probe analysis. As second example, we consider known holographic N = 8 supersymmetric renormalization group flow (Pope-Warner) in four dimensions. The eight mass terms are added and similar geometric superpotential is obtained.