EXTREME DOMAIN WALL-BLACK HOLE COMPLEMENTARITY IN N=1 SUPERGRAVITY WITH A GENERAL DILATON COUPLING

We study supersymmetric (extreme) domain walls in four-dimensional (4d) N = 1 supergravity theories with a general dilaton coupring alpha > 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 alpha. N = 1 supergravity with alpha = 1, an effective theory from superstrings, provides a dividing line between the theories with alpha > 1, where there is a naked (planar) singularity on one side of the wall, and the theories with alpha < 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 alpha is the same as the global space-time (in (t,r) direction) of the extreme magnetically charged black holes with the coupling 1/alpha.