Extreme domain wall-black hole complementarity in N=1 supergravity with a general dilaton coupling

Abstract

We study supersymmetric (extreme) domain walls in four-dimensional (4 d) 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.