Currently homomorphic rotations are supported only for power-of-two cyclotomics. This implies the slots are partitioned into two halves. Elements are rotated within each half and, separately, the halves can be swapped. In other words, we deal with two-dimensional arrays. The first dimension is [ring dimension]/2. The second dimension is 2. See Rotation in BFV for more information.
We are discussing the option of adding more general cyclotomic rings for crypto schemes. It is most beneficial for BGV/BFV applications with bootstrapping.