We look at the string theory dual of the N = 1* theory, involving 5-branes,
which was recently proposed by Polchinski and Strassler [1]. We argue that
SUGRA alone is not enough in order to obtain the correct screening and con
finement behaviour of the various massive field theory vacua, but that appr
opriate worldvolume phenomena of the 5-branes must be included. We therefor
e work within the SUGRA approximation, also taking into account the brane d
ynamics, and classify all the SUGRA configurations. In this level of analys
is, we find multiple valid configurations for every given vacuum. We discus
s some possible resolutions of this perplexing result. We also consider the
spectrum of asymptotic states, and discuss the global symmetries of the SU
GRA solution of the N = 1*theory and of the N = 0* theory obtained from it
by explicit supersymmetry breaking.