N=8 Gauged Supergravity Theory and N=6 Superconformal Chern-Simons Matter Theory

TL;DR

This paper explores the holographic duals of mass-deformed N=4 and N=8 superconformal Chern-Simons matter theories, deriving superpotentials and analyzing M2-brane probes to understand their geometric and supersymmetric properties.

Contribution

It introduces new mass deformations preserving supersymmetry in known holographic RG flows and derives corresponding superpotentials from eleven-dimensional supergravity.

Findings

Mass deformed N=4 theory with preserved supersymmetry identified.

Superpotentials derived from eleven-dimensional geometry.

Analysis of M2-brane probes in the deformed backgrounds.

Abstract

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 eleven 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.