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Using first-principle numerical simulations of the lattice SU(3) gaugetheory, we calculate the isothermal moment of inertia of the rigidly rotatinggluon plasma. We find that the moment of inertia unexpectedly takes a negativevalue below the "supervortical temperature" $T_s = 1.50(10) T_c$, vanishes at$T = T_s$, and becomes a positive quantity at higher temperatures. The negativemoment of inertia indicates a thermodynamic instability of rigid rotation. Wederive the condition of thermodynamic stability of the vortical plasma and showhow it relates to the scale anomaly and the magnetic gluon condensate. Therotational instability of gluon plasma shares a striking similarity with therotational instabilities of spinning Kerr and Myers-Perry black holes.

Negative moment of inertia and rotational instability of gluon plasma