  Employing the novel exact dictionary between the laws of extended black hole
thermodynamics and the laws of the dual CFT, we study the extended
thermodynamics for CFT states that are dual to neutral singly-spinning
asymptotically AdS black holes in $d$ bulk spacetime dimensions. On the field
theory side we include two independent pairs of thermodynamic conjugate
variables: the central charge-chemical potential term and the pressure-volume
term. In this setting we uncover various phase transitions and critical
behaviour in the CFT, focusing on three different thermodynamic ensembles.
Namely, for fixed angular momentum and central charge, we show there is a Van
der Waals-like criticality for $d=4,5$ and reentrant phase transitions for
$d\ge 6$. At fixed angular velocity and central charge, there is a first-order
(de)confinement phase transition in all dimensions $d \ge 3$. Finally, at fixed
angular momentum and chemical potential we find a plethora of zero-order phase
transitions and unstable phases in both $d=4$ and $d=6$.
