Marginally deformed AdS${}_5$/CFT${}_4$ and spindle-like orbifolds

Abstract

We study marginal deformations of $\mathcal{N}=2$, $d=4$ long linear quiver CFTs using the holographic description. We find a two-parameter family of AdS${}_5$ solutions that generically break all of supersymmetry, but preserve $\mathcal{N}=1$ for a particular tuning of the parameters. We study the G-structure of the $\mathcal{N}=2$ "parent" and the $\mathcal{N}=1$ backgrounds and carefully discuss the quantisation of charges in all cases. For the $\mathcal{N}=1$ and $\mathcal{N}=0$ cases, a picture emerges with "branes" back-reacted on either a spindle or its higher dimensional analogue. Comments on the marginally deformed dual CFTs are given, together with the study of some observables.

37 pages and various appendices. Comments and references added. Final version published in JHEP