  Odd-dimensional quantum field theories (QFTs) can have nonzero trace
anomalies if external fields are introduced and some ingredients needed to make
Lorentz scalars with appropriate mass dimensions (or weights) are supplied. We
have studied a three-dimensional QFT and explicitly computed the trace of the
stress tensor using the holographic local renormalization group (RG). We have
checked some properties of vector beta functions and the Wess-Zumino
consistency condition, however, found the anomalies vanish on fixed points. We
clarify what is responsible for the vanishing trace anomalies.
