  We use holographic correspondence to study transport of the conformal plasma
in ${\mathbb R}^{2,1}$ in a phase with a spontaneously broken global $Z_2$
symmetry. The dual black branes in a Poincare patch of asymptotically $AdS_4$
have "hair" -- a condensate of the order parameter for the broken symmetry.
This hair affects both the hydrodynamic and the nonhydrodynamic quasinormal
modes of the black branes. Nonetheless, the shear viscosity of the conformal
order is universal, the bulk viscosity vanishes and the speed of the sound
waves is $c_s^2=\frac 12$. We compute the low-lying spectrum of the
non-hydrodynamic modes. We identify a quasinormal mode associated with the
fluctuations of the $Z_2$ order parameter with the positive imaginary part. The
presence of this mode in the spectrum renders the holographic conformal order
perturbatively unstable. Correspondingly, the dual black branes violate the
correlated stability conjecture.
