We compute the leading double-soft behavior for gluons and for the scalars
obtained by dimensional reduction of a higher dimensional pure gauge theory,
from the scattering amplitudes of gluons and scalars living in the world-volume
of a Dp-brane of the bosonic string. In the case of gluons, we compute both the
double-soft behavior when the two soft gluons are contiguous as well as when
they are not contiguous. From our results, that are valid in string theory, one
can easily get the double-soft limit in gauge field theory by sending the
string tension to infinity.Comment: 25 pages, 1 figur