AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity

TL;DR

This paper explores the structure of five-dimensional N=4 gauged supergravity, identifying multiple AdS5 vacua with different supersymmetries and symmetries, and studies the holographic RG flows connecting these vacua to understand dual superconformal field theories.

Contribution

It classifies all supersymmetric AdS5 vacua in a specific 5D N=4 supergravity model and constructs new holographic RG flow solutions connecting these vacua.

Findings

Four supersymmetric AdS5 vacua identified with different supersymmetries.

Full scalar mass spectra computed for all vacua.

New RG flow solutions found connecting various vacua.

Abstract

We study five-dimensional $N=4$ gauged supergravity coupled to five vector multiplets with $SO(2)_D\times SO(3)\times SO(3)$ gauge group. There are four supersymmetric $AdS_5$ vacua in the truncation to $SO(2)_{\textrm{diag}}$ invariant scalars. Two of these vacua preserve the full $N=4$ supersymmetry with $SO(2)_D\times SO(3)\times SO(3)$ and $SO(2)_D\times SO(3)_{\textrm{diag}}$ symmetries. These have an analogue in $N=4$ gauged supergravity with $SO(2)\times SO(3)\times SO(3)$ gauge group. The other two $AdS_5$ vacua preserve only $N=2$ supersymmetry with $SO(2)_{\textrm{diag}}\times SO(3)$ and $SO(2)_{\textrm{diag}}$ symmetry. The former has an analogue in the previous study of $SO(2)_D\times SO(3)$ gauge group while the latter is a genuinely new $N=2$ $AdS_5$ vacuum. These vacua are dual to $N=2$ and $N=1$ superconformal field theories (SCFTs) in four dimensions with different flavour symmetries. We give the full scalar mass spectra at all of the $AdS_5$ critical points which provide information on conformal dimensions of the dual operators. Finally, we study holographic RG flows interpolating between these $AdS_5$ vacua and find a new class of solutions. In addition to the RG flows from the trivial $SO(2)_D\times SO(3)\times SO(3)$ $N=4$ critical point, at the origin of the scalar manifold, to all the other critical points, there is a family of RG flows from the trivial $N=4$ critical point to the new $SO(2)_{\textrm{diag}}$ $N=2$ critical point that pass arbitrarily close to the $SO(2)_D\times SO(3)_{\textrm{diag}}$ $N=4$ critical point.