Slow entropy of higher rank abelian unipotent actions

We study slow entropy invariants for abelian unipotent actions $ U on any finite volume homogeneous space G/\Gamma $. For every such action we show that the topological can be computed directly from dimension of a special decomposition {{\rm{Lie}}}(G) induced by {{\rm{Lie}}}(U) Moreover, are able to metric coincides with its entropy. As corollary, obtain complexity horocyclic is only related G This generalizes rank one results [14] higher actions.