Holographic 3d N $$ \mathcal{N} $$ = 1 conformal manifolds

Abstract

Abstract We construct and study several examples of continuous families of AdS4 N $$ \mathcal{N} $$ = 1 solutions of four-dimensional maximal gauged supergravity. These backgrounds provide the holographic descriptions of conformal manifolds of the dual 3d N $$ \mathcal{N} $$ = 1 SCFTs. The solutions we study can be uplifted to type IIB supergravity where they arise from D3-branes wrapping an S 1 with an S-duality twist. We find the spectrum of low lying operators in the 3d N $$ \mathcal{N} $$ = 1 SCFTs as a function of the exactly marginal coupling and discuss the structure of the corresponding superconformal multiplets. Using string theory techniques we also study additional examples of continuous families of N $$ \mathcal{N} $$ = 1 AdS4 vacua in type IIB and massive type IIA supergravity.

Keywords

• AdS-CFT Correspondence
• Superstring Vacua
• Supersymmetric Gauge Theory