  We consider pure D3-brane configurations of IIB string theory which lead to
supersymmetric solutions containing an AdS$_3$ factor. They can provide new
examples of AdS$_3$/CFT$_2$ examples on D3-branes whose worldvolume is
partially compactified. When the internal 7 dimensional space is non-compact,
they can be identified as supersymmetric fluctuations of higher dimensional AdS
solutions and are in general dual to 1/8-BPS operators thereof. We find that
supersymmetry requires the 7 dimensional space take the form of a warped U(1)
fibration over a 6 dimensional Kahler manifold.
