We construct supergravity solutions dual to twisted field theories that are
the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fiveb
ranes on 2-cycles. We first obtain the solutions for the Romans' six-dimens
ional gauged supergravity theories and then up-lift them to ten dimensions.
In particular, we find solutions for field configurations with either non-
abelian fields or B-fields being excited. One of these solutions, in the ma
ssless case, is up-lifted to the massless type IIA string theory. This is t
he first example of such a kind. The cases studied provide new examples of
the AdS/CFT duality involving twisted field theories.