  We derive an effective topological field theory model of the four dimensional
quantum Hall liquid state recently constructed by Zhang and Hu. Using a
generalization of the flux attachment transformation, the effective field
theory can be formulated as a U(1) Chern-Simons theory over the total
configuration space $CP_3$, or as a SU(2) Chern-Simons theory over $S^4$. The
new quantum Hall liquid supports various types of topological excitations,
including the 0-brane (particles), the 2-brane (membranes) and the 4-brane.
There is a topological phase interaction among the membranes which generalizes
the concept of fractional statistics.
