  We construct a family of supersymmetric solutions to AdS supergravity in
three dimensions, that correspond to type IIB seven branes wrapped on an
internal S3xT4. These solutions are generalizations of the three dimensional
Goedel universe and have closed timelike curves. We propose an enhancon-like
mechanism for excising the closed timelike curve region by including the
effects of additional light degrees of freedom. These take the form of
tensionless 7-brane probes, effectively described through the backreaction of a
smeared domain wall. The absence of closed timelike curves in the asymptotic
AdS3 geometries obtained in this way is shown to be equivalent to a unitarity
bound in the dual CFT, known as the stringy exclusion principle.
