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

Abstract: We study marginal deformations of ${\cal N}=2$, $d=4$ 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 ${\cal N}=1$ for a particular tuning of the parameters. We study the G-structure of the ${\cal N}=2$ "parent" and the ${\cal N}=1$ backgrounds and carefully discuss the quantisation of charges in all cases. For the ${\cal N}=1$ and ${\cal N}=0$ 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.