Class of supersymmetric solitons with naked singularities.

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We study vacuum domain walls in a class of four-dimensional N=1 supergravity theories where along with the matter field, forming the wall, there is more than one ``dilaton,'' each respecting SU(1,1) symmetry in their subsector. We find supersymmetric (planar, static) walls, interpolating between a Minkowski vacuum and a new class of supersymmetric vacua which have a naked (planar) singularity. Although such walls correspond to idealized configurations, i.e., they correspond to planar configurations of infinite extent, they provide the first example of supersymmetric classical solitons with naked singularities.