  Alfv\'enic-type turbulence in strongly magnetized, low-beta pair plasmas is
investigated. A coupled set of equations for the evolution of the magnetic and
flow potentials are derived, covering both fluid and kinetic scales. In the
fluid (MHD) range those equations are the same as for electron-ion plasmas, so
turbulence at those scales is expected to be of the Alfv\'enic nature,
exhibiting critical balance, dynamic alignment, and transition to a tearing
mediated regime at small scales. The critical scale at which a transition to a
tearing-mediated range occurs is derived, and the spectral slope in that range
is predicted to be $k_\perp^{-8/3}$ (or $k_\perp^{-3}$, depending on details of
the reconnecting configuration assumed). At scales below the electron (and
positron) skin depth, it is argued that turbulence is dictated by a cascade of
the inertial Alfv\'en wave, which we show to result in the magnetic energy
spectrum $\propto k_\perp^{-11/3}$.
