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

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.

arXiv comment37 pages

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