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

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.