  We analyse non-local rotating observables in holography corresponding to
spinning bound states. To renormalize their energies and momenta we suggest and
discuss different holographic renormalization schemes motivated by the static
non-local observables. Namely the holographic renormalization and the rotating
color singlet mass subtraction scheme. In the holographic renormalization we
identify the infinite boundary terms and subtract them. In the mass subtraction
scheme we evaluate the energy of a spinning trailing string corresponding to
the color charged singlet which experiences dragging phenomena and we subtract
it from the energy of the bound state to obtain the renormalized finite energy.
Then we apply our generic framework to certain strongly coupled thermal
theories with broken rotational symmetry. We find numerical solutions
corresponding to spinning bound states with a fixed size while varying their
angular frequency. By applying numerically the renormalization schemes, we find
that there is a critical frequency where the bound state ceases to exist or
dissociates. We also note that bound states require lower angular frequencies
to dissociate when the theory has less symmetry.
