Abstract

We present D3-brane solutions in type IIB string theory which preserve 1/8 of supersymmetry. Their transverse space is Ricci-flat but not flat and in fact a cone over an appropriate five dimensional Einstein space X 5. Supersymmetry is preserved if X 5 is a U(1) bundle over a Kahler-Einstein complex surface S with positive first Chern class c 1>0. Their near-horizon geometry is described by AdS 5×X 5 and they should be the supergravity duals of certain four-dimensional superconformal field theories.

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