  We present the main results of our microcanonical simulation of the Wess
Zumino Witten action functional. This action, being highly non-trivial and
capable of exhibiting many different phase transitions, is chosen to be
representative of general complex actions. We verify the applicability of
microcanonical simulation by successfully obtaining two of the many critical
points of the Wess Zumino Witten action. The microcanonical algorithm has the
additional advantage of exhibiting critical behaviour for a small $8\times 8$
lattice. We also briefly discuss the subtleties that, in general, arise in
simulating a complex action. Our algorithm for complex actions can be extended
to the study of
  D-branes in the Wess Zumino Witten action.
