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The $CP^N$ model in three euclidean dimensions is studied in the presence ofa Chern-Simons term using the $1/N$ expansion. The $\beta$-function for the CScoefficient $\theta$ is found to be zero to order $1/N$ in the unbroken phaseby an explicit calculation. It is argued to be zero to all orders. Some remarkson the $\theta$ dependence of the critical exponents are also made.Comment: 10 pages 2 figures (not included

CPN−1 MODEL WITH A CHERN-SIMONS TERM

CP^N−1 MODEL WITH A CHERN-SIMONS TERM