We construct a class of intersecting brane solutions with horizon geom
etries of the form adS(k) x S-l x S-m x E-n. We describe how all these
solutions are connected through the addition of a wave and/or monopol
es. All solutions exhibit supersymmetry enhancement near the horizon,
Furthermore we argue that string theory on these spaces is dual to spe
cific superconformal field theories in two dimensions whose symmetry a
lgebra in all cases contains the large N = 4 algebra A(gamma). Implica
tions for gauged supergravities are also discussed. (C) 1998 Elsevier
Science B.V.