Extreme Domain Wall--Black Hole Complementarity in N=1SUPERGRAVITY with a General Dilaton Coupling

Abstract

We study supersymmetric (extreme) domain walls in four-dimensional (4d) N=1 supergravity theories with a general dilaton coupling $\alpha >0$. 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 $1/\alpha$.

11 pages (3 figures available from ftp://dept.physics.upenn.edu/pub/UPR-600-T/), UPR-600-T revised to be compatible with the published version

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