We analyze in detail the anomaly cancellation conditions for the stron
gly coupled E-8 x E-8 heterotic string introduced by Horava and Witten
and find new features compared to the ten-dimensional Green-Schwarz m
echanism. We project onto ten dimensions the corresponding Lagrangian
of the zero-mode fields. We find that it has a simple interpretation p
rovided by the conjectured heterotic string/fivebrane duality. The par
t which originates from eleven-dimensions is naturally described in fi
vebrane language. We discuss physical couplings and scales in four dim
ensions. (C) 1997 Published by Elsevier Science B.V.