  In this note, we consider confining gauge theories in $D=2,3,4$ defined by
$S^2$ or $T^2$ compactification of higher-dimensional conformal field theories
with gravity duals. We investigate the behavior of these theories on de Sitter
spacetime as a function of the Hubble parameter. We find that in each case, the
de Sitter vacuum state of the field theory (defined by Euclidian continuation
from a sphere) undergoes a deconfinement transition as the Hubble parameter is
increased past a critical value. In each case, the corresponding critical de
Sitter temperature is smaller than the corresponding Minkowski-space
deconfinement temperature by a factor nearly equal to the dimension of the de
Sitter spacetime. The behavior is qualitatively and quantitatively similar to
that for confining theories defined by $S^1$ compactification of CFTs, studied
recently in arXiv:1007.3996.
