Abstract :
We study supersymmetric (extreme) domain walls in four-dimensional (4d) N=1 supergravity theories with a general dilaton coupling α>0. Type I walls, which are static, planar (say, in (x,y) plane) configurations, interpolate between Minkowski space-time and a vacuum with a varying dilaton field. We classify their global space-time with respect to the value of the coupling α.N=1 supergravity with α=1, an effective theory from superstrings, provides a dividing line between the theories with α > 1, where there is a naked (planar) singularity on one side of the wall, and the theories with α < 1, where the singularity of the of the wall is covered by the horizon. The global space-time (in (t,z) direction) of the extreme walls with the coupling α is the same as the global space-time (in (t,r) direction) of the extreme magnetically charged black holes with the coupling 1/α.