different charges.

In all cases the intersection of branes interpolates between different stable vacua; Minkowski at infinity, $adS_k \xx S^l \xx S^m \xx E^n$ close to all branes and $adS_k \xx S^l \xx E^{n+m}$, $adS_k \xx S^m \xx E^{n+l}$, close to some branes but far from the others. This is analogous to the case of M2, M5, D3, and NS5 studied in [@m5] and for “standard” intersections of branes studied in [@BPS1; @KK].

By explicitly computing the Killing spinors we find that in all cases the near-horizon solution exhibits doubling of supersymmetry. Knowing how the Killing spinors transform under the isometry group allows us to determine the $adS$ supergroup that organizes the spectrum of the theory. The same supergroup can be interpreted as a conformal supergroup in one dimension lower. Based on these facts we argue that string theory on $adS_k \xx S^l \xx S^m \xx E^n$ backgrounds is dual to superconformal field theories in two dimensions. For $k=3$ we find $(4,4)$ or $(4,0)$ SCFTs. For $k=2$ one would naively expect one-dimensional $\cn=8$ superconformal theories, but we argue that they are more properly viewed as Kaluza-Klein reductions of chiral SCFTs. In all cases the SCFT contains the $\ca_\g$ algebra. Our 