The Gauge Dual of Gauged N=8 Supergravity Theory

TL;DR

This paper explores the structure of gauged N=8 supergravity in four dimensions, describing a family of supersymmetric RG flows driven by mass parameters and identifying IR fixed points with specific symmetries.

Contribution

It provides a detailed analysis of SU(3)-invariant scalar fields and the associated holographic RG flows, revealing new fixed points and flow behaviors in gauged N=8 supergravity.

Findings

Identification of two IR fixed points with G_2 and SU(3) x U(1) symmetries.

Description of a family of N=1 supersymmetric RG flows driven by three mass parameters.

Analysis of a specific flow from G_2-invariant to SU(3) x U(1)-invariant fixed point.

Abstract

The most general SU(3)-singlet space of gauged N=8 supergravity in four-dimensions is studied recently. The SU(3)-invariant six scalar fields are realized by six real four-forms. A family of holographic N=1 supersymmetric RG flows on M2-branes in three-dimensions is described. This family of flows is driven by three independent mass parameters from the N=8 SO(8) theory and is controlled by two IR fixed points, N=1 G_2-invariant one and N=2 SU(3) x U(1)-invariant one. The generic flow with arbitrary mass parameters is N=1 supersymmetric and reaches to the N=2 SU(3) x U(1) fixed point where the three masses become identical. A particular N=1 supersymmetric SU(3)-preserving RG flow from the N=1 G_2-invariant fixed point to the N=2 SU(3) x U(1)-invariant fixed point is also discussed.