  Antiferromagnets (AFMs), in contrast to ferromagnets, show a nontrivial
magnetic structure with zero net magnetization. However, they share a number of
spintronic effects with ferromagnets, including spin-pumping and spin transfer
torques. Both phenomena stem from the coupled dynamics of free carriers and
localized magnetic moments. In the present paper I study the adiabatic dynamics
of a spin-polarized electrons in a metallic AFM exhibiting a noncollinear
120$^\circ$ magnetic structure. I show that the slowly varying AFM spin texture
produces a non-Abelian gauge potential related to the time/space gradients of
the N\'{e}el vectors. Corresponding emergent electric and magnetic fields
induce rotation of spin and influence the orbital dynamics of free electrons. I
discuss both the possibility of a topological spin Hall effect in the vicinity
of topological AFM solitons with nonzero curvature and rotation of the electron
spin traveling through the AFM domain wall.
