  Using lattice simulations, we analyze the influence of uniform rotation on
the equation of state of gluodynamics. For a sufficiently slow rotation, the
free energy of the system can be expanded into a series of powers of angular
velocity. We calculate the moment of inertia given by the quadratic coefficient
of this expansion using both analytic continuation and derivative methods,
which demonstrate a good agreement between the results. We find that the moment
of inertia unexpectedly takes a negative value below the ``supervortical
temperature'' $T_s = 1.50(10) T_c$, vanishes at $T = T_s$, and becomes a
positive quantity at higher temperatures. We discuss how our results are
related to the scale anomaly and the magnetic gluon condensate. We point out
that the negativity of the moment of inertia is in qualitative agreement with
our previous lattice calculations, indicating that the rigid rotation increases
the critical temperatures in gluodynamics and QCD.
