  We propose here a high-frequency spin-Hall nano-oscillator based on a simple
magnetic texture, such as a domain wall, located in an antiferromagnet with
easy-axis anisotropy type. We show that the spin current, polarized along the
anisotropy axis, excites a conical precession of the Neel vector in such a
domain wall, which allows obtaining a robust ac output signal, - contrary to
the uniform uniaxial antiferromagnets, where ac output is hard to achieve. The
frequency of the auto-oscillations is easily tunable by the applied current up
to the THz range, and the threshold current vanishes for pure uniaxial
antiferromagnet. By micro-magnetic simulations, we demonstrate, that the
pinning of the domain wall is crucial for the oscillator design, which can be
achieved in nano-constriction layout of the free layer.
