Holographic 3d $\mathcal N=1$ Conformal Manifolds

TL;DR

This paper constructs and analyzes continuous families of AdS4 solutions in supergravity, providing holographic descriptions of conformal manifolds in 3d N=1 SCFTs, with uplift to string theory and spectrum analysis.

Contribution

It introduces new explicit supergravity solutions representing conformal manifolds of 3d N=1 SCFTs and explores their string theory origins and operator spectra.

Findings

Identification of continuous AdS4 N=1 solutions in supergravity.

Holographic description of 3d N=1 conformal manifolds.

Spectrum of operators as a function of marginal couplings.

Abstract

We construct and study several examples of continuous families of AdS$_4$ $\mathcal N = 1$ solutions of four-dimensional maximal gauged supergravity. These backgrounds provide the holographic descriptions of conformal manifolds of the dual 3d $\mathcal N = 1$ 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 $\mathcal N = 1$ 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 $\mathcal N = 1$ AdS$_4$ vacua in type IIB and massive type IIA supergravity.