  We theoretically investigate domain wall motion in an antiferromagnetic
insulator layer caused by thermally generated spin currents in an adjacent
spin-split superconductor layer. An uncompensated antiferromagnet interface
enables the two crucial ingredients underlying the mechanism - spin splitting
in the superconductor and absorption of spin currents by the antiferromagnet.
Treating the superconductor using the quasiclassical theory and the
antiferromagnet via Landau-Lifshitz-Gilbert description, we find domain wall
propagation along the thermal gradient with relatively large velocities $\sim
100$ m/s. Our proposal exploits the giant thermal response of spin-split
superconductors in achieving large spin torques towards driving domain wall and
other spin textures in antiferromagnets.
