Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory

TL;DR

This paper explores a specific supergravity solution involving an SO(3)-bundle over CP^2, analyzing the holographic RG flow between two fixed points and identifying the dual operators in three-dimensional superconformal Chern-Simons theories.

Contribution

It reexamines the scalar potential and RG flow in eleven-dimensional supergravity, providing a new interpretation of the dual operators in the associated superconformal field theories.

Findings

Identified the RG flow from UV to IR fixed points with specific supersymmetry properties.

Reinterpreted the scalar potential in the context of holographic renormalization.

Linked the supergravity solution to dual operators in three-dimensional superconformal theories.

Abstract

We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP^2. By reexaming the AdS_4 supergravity scalar potential, the holographic renormalization group flow from N=(0,1) SU(3) x SU(2)-invariant UV fixed point to N=(3,0) SU(3) x SU(2)-invariant IR fixed point is reinterpreted. A dual operator in three-dimensional superconformal Chern-Simons matter theories corresponding to this RG flow is described.