The Wess-Zumino-Witten action in an n-dimensional curved space-time

General quantum field theories of chiral fermions interacting with gauge fields in a curved spacetime with dimension n are considered. These kinds of theories are known to have gauge anomalies, which should be reflected in the low-energy effective theory of Goldstone bosons by terms called the gauged Wess-Zumino-Witten action. By direct calculations, a complete form of the terms is obtained in curved space-times with a general dimension n.